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Finding the Third Proportional to 142,034,061 and 305,640,684

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Solution

The third proportional to 142,034,061 and 305,640,684 is: 657,702,997.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,034,061 : 305,640,684 = 305,640,684 : x
  2. Step 2: Convert to fraction form
    142,034,061/305,640,684 = 305,640,684/x
  3. Step 3: Cross multiply
    142,034,061x = 305,640,684 × 305,640,684
  4. Step 4: Simplify right side
    142,034,061x = 93,416,227,715,987,856
  5. Step 5: Solve for x
    x = 93,416,227,715,987,856/142,034,061
  6. Step 6: Final answer
    x = 657,702,997.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.