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Finding the Third Proportional to 57,932,946.56 and 81,192,876.19

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Solution

The third proportional to 57,932,946.56 and 81,192,876.19 is: 113,791,607.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,932,946.56 : 81,192,876.19 = 81,192,876.19 : x
  2. Step 2: Convert to fraction form
    57,932,946.56/81,192,876.19 = 81,192,876.19/x
  3. Step 3: Cross multiply
    57,932,946.56x = 81,192,876.19 × 81,192,876.19
  4. Step 4: Simplify right side
    57,932,946.56x = 6,592,283,143,598,705
  5. Step 5: Solve for x
    x = 6,592,283,143,598,705/57,932,946.56
  6. Step 6: Final answer
    x = 113,791,607.97

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.