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Finding the Third Proportional to 61,917,895.13 and 144,588,736.13

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Solution

The third proportional to 61,917,895.13 and 144,588,736.13 is: 337,639,103.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,917,895.13 : 144,588,736.13 = 144,588,736.13 : x
  2. Step 2: Convert to fraction form
    61,917,895.13/144,588,736.13 = 144,588,736.13/x
  3. Step 3: Cross multiply
    61,917,895.13x = 144,588,736.13 × 144,588,736.13
  4. Step 4: Simplify right side
    61,917,895.13x = 20,905,902,614,224,880
  5. Step 5: Solve for x
    x = 20,905,902,614,224,880/61,917,895.13
  6. Step 6: Final answer
    x = 337,639,103.72

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.