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Finding the Third Proportional to 203,704,912.50 and 323,088,605.25

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Solution

The third proportional to 203,704,912.50 and 323,088,605.25 is: 512,438,534.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,704,912.50 : 323,088,605.25 = 323,088,605.25 : x
  2. Step 2: Convert to fraction form
    203,704,912.50/323,088,605.25 = 323,088,605.25/x
  3. Step 3: Cross multiply
    203,704,912.50x = 323,088,605.25 × 323,088,605.25
  4. Step 4: Simplify right side
    203,704,912.50x = 104,386,246,842,390,320
  5. Step 5: Solve for x
    x = 104,386,246,842,390,320/203,704,912.50
  6. Step 6: Final answer
    x = 512,438,534.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.