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Finding the Third Proportional to 243,355,376 and 371,162,498

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Solution

The third proportional to 243,355,376 and 371,162,498 is: 566,092,281.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,355,376 : 371,162,498 = 371,162,498 : x
  2. Step 2: Convert to fraction form
    243,355,376/371,162,498 = 371,162,498/x
  3. Step 3: Cross multiply
    243,355,376x = 371,162,498 × 371,162,498
  4. Step 4: Simplify right side
    243,355,376x = 137,761,599,921,600,000
  5. Step 5: Solve for x
    x = 137,761,599,921,600,000/243,355,376
  6. Step 6: Final answer
    x = 566,092,281.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.