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Finding the Third Proportional to 31,832,869.96 and 68,203,747.83

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Solution

The third proportional to 31,832,869.96 and 68,203,747.83 is: 146,130,437.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,832,869.96 : 68,203,747.83 = 68,203,747.83 : x
  2. Step 2: Convert to fraction form
    31,832,869.96/68,203,747.83 = 68,203,747.83/x
  3. Step 3: Cross multiply
    31,832,869.96x = 68,203,747.83 × 68,203,747.83
  4. Step 4: Simplify right side
    31,832,869.96x = 4,651,751,217,802,466
  5. Step 5: Solve for x
    x = 4,651,751,217,802,466/31,832,869.96
  6. Step 6: Final answer
    x = 146,130,437.63

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