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Finding the Third Proportional to 132,147,266 and 289,706,391

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Solution

The third proportional to 132,147,266 and 289,706,391 is: 635,123,188.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,147,266 : 289,706,391 = 289,706,391 : x
  2. Step 2: Convert to fraction form
    132,147,266/289,706,391 = 289,706,391/x
  3. Step 3: Cross multiply
    132,147,266x = 289,706,391 × 289,706,391
  4. Step 4: Simplify right side
    132,147,266x = 83,929,792,986,244,880
  5. Step 5: Solve for x
    x = 83,929,792,986,244,880/132,147,266
  6. Step 6: Final answer
    x = 635,123,188.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.