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Finding the Third Proportional to 141,905,444 and 305,960,824

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Solution

The third proportional to 141,905,444 and 305,960,824 is: 659,678,890.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,905,444 : 305,960,824 = 305,960,824 : x
  2. Step 2: Convert to fraction form
    141,905,444/305,960,824 = 305,960,824/x
  3. Step 3: Cross multiply
    141,905,444x = 305,960,824 × 305,960,824
  4. Step 4: Simplify right side
    141,905,444x = 93,612,025,822,758,976
  5. Step 5: Solve for x
    x = 93,612,025,822,758,976/141,905,444
  6. Step 6: Final answer
    x = 659,678,890.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.