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Finding the Third Proportional to 129,266,180 and 193,441,276

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Solution

The third proportional to 129,266,180 and 193,441,276 is: 289,476,545.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,266,180 : 193,441,276 = 193,441,276 : x
  2. Step 2: Convert to fraction form
    129,266,180/193,441,276 = 193,441,276/x
  3. Step 3: Cross multiply
    129,266,180x = 193,441,276 × 193,441,276
  4. Step 4: Simplify right side
    129,266,180x = 37,419,527,260,508,176
  5. Step 5: Solve for x
    x = 37,419,527,260,508,176/129,266,180
  6. Step 6: Final answer
    x = 289,476,545.69

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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.