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Finding the Third Proportional to 133,775,498 and 195,500,523

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Solution

The third proportional to 133,775,498 and 195,500,523 is: 285,705,940.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,775,498 : 195,500,523 = 195,500,523 : x
  2. Step 2: Convert to fraction form
    133,775,498/195,500,523 = 195,500,523/x
  3. Step 3: Cross multiply
    133,775,498x = 195,500,523 × 195,500,523
  4. Step 4: Simplify right side
    133,775,498x = 38,220,454,493,273,528
  5. Step 5: Solve for x
    x = 38,220,454,493,273,528/133,775,498
  6. Step 6: Final answer
    x = 285,705,940.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.