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Finding the Third Proportional to 239,705,683,648.88 and 521,609,223,728.25

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Solution

The third proportional to 239,705,683,648.88 and 521,609,223,728.25 is: 1,135,042,682,913.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,705,683,648.88 : 521,609,223,728.25 = 521,609,223,728.25 : x
  2. Step 2: Convert to fraction form
    239,705,683,648.88/521,609,223,728.25 = 521,609,223,728.25/x
  3. Step 3: Cross multiply
    239,705,683,648.88x = 521,609,223,728.25 × 521,609,223,728.25
  4. Step 4: Simplify right side
    239,705,683,648.88x = 272,076,182,278,387,552,747,520
  5. Step 5: Solve for x
    x = 272,076,182,278,387,552,747,520/239,705,683,648.88
  6. Step 6: Final answer
    x = 1,135,042,682,913.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.