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Finding the Third Proportional to 31,832,929.13 and 68,203,863

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Solution

The third proportional to 31,832,929.13 and 68,203,863 is: 146,130,659.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,832,929.13 : 68,203,863 = 68,203,863 : x
  2. Step 2: Convert to fraction form
    31,832,929.13/68,203,863 = 68,203,863/x
  3. Step 3: Cross multiply
    31,832,929.13x = 68,203,863 × 68,203,863
  4. Step 4: Simplify right side
    31,832,929.13x = 4,651,766,928,122,769
  5. Step 5: Solve for x
    x = 4,651,766,928,122,769/31,832,929.13
  6. Step 6: Final answer
    x = 146,130,659.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.