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Finding the Third Proportional to 239,705,689,116 and 521,609,234,823.75

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Solution

The third proportional to 239,705,689,116 and 521,609,234,823.75 is: 1,135,042,705,314.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,705,689,116 : 521,609,234,823.75 = 521,609,234,823.75 : x
  2. Step 2: Convert to fraction form
    239,705,689,116/521,609,234,823.75 = 521,609,234,823.75/x
  3. Step 3: Cross multiply
    239,705,689,116x = 521,609,234,823.75 × 521,609,234,823.75
  4. Step 4: Simplify right side
    239,705,689,116x = 272,076,193,853,417,965,223,936
  5. Step 5: Solve for x
    x = 272,076,193,853,417,965,223,936/239,705,689,116
  6. Step 6: Final answer
    x = 1,135,042,705,314.15

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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.