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Finding the Third Proportional to 83,375,916.75 and 181,104,693.75

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Solution

The third proportional to 83,375,916.75 and 181,104,693.75 is: 393,385,900.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,375,916.75 : 181,104,693.75 = 181,104,693.75 : x
  2. Step 2: Convert to fraction form
    83,375,916.75/181,104,693.75 = 181,104,693.75/x
  3. Step 3: Cross multiply
    83,375,916.75x = 181,104,693.75 × 181,104,693.75
  4. Step 4: Simplify right side
    83,375,916.75x = 32,798,910,098,281,288
  5. Step 5: Solve for x
    x = 32,798,910,098,281,288/83,375,916.75
  6. Step 6: Final answer
    x = 393,385,900.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.