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Finding the Third Proportional to 123,857,221.50 and 185,773,803.75

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Solution

The third proportional to 123,857,221.50 and 185,773,803.75 is: 278,642,664.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,857,221.50 : 185,773,803.75 = 185,773,803.75 : x
  2. Step 2: Convert to fraction form
    123,857,221.50/185,773,803.75 = 185,773,803.75/x
  3. Step 3: Cross multiply
    123,857,221.50x = 185,773,803.75 × 185,773,803.75
  4. Step 4: Simplify right side
    123,857,221.50x = 34,511,906,159,743,516
  5. Step 5: Solve for x
    x = 34,511,906,159,743,516/123,857,221.50
  6. Step 6: Final answer
    x = 278,642,664.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.