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Finding the Third Proportional to 136,267,474.50 and 204,351,184.13

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Solution

The third proportional to 136,267,474.50 and 204,351,184.13 is: 306,451,753.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,267,474.50 : 204,351,184.13 = 204,351,184.13 : x
  2. Step 2: Convert to fraction form
    136,267,474.50/204,351,184.13 = 204,351,184.13/x
  3. Step 3: Cross multiply
    136,267,474.50x = 204,351,184.13 × 204,351,184.13
  4. Step 4: Simplify right side
    136,267,474.50x = 41,759,406,453,289,656
  5. Step 5: Solve for x
    x = 41,759,406,453,289,656/136,267,474.50
  6. Step 6: Final answer
    x = 306,451,753.12

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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.