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Finding the Third Proportional to 191,526,154 and 297,169,611

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Solution

The third proportional to 191,526,154 and 297,169,611 is: 461,084,691.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,526,154 : 297,169,611 = 297,169,611 : x
  2. Step 2: Convert to fraction form
    191,526,154/297,169,611 = 297,169,611/x
  3. Step 3: Cross multiply
    191,526,154x = 297,169,611 × 297,169,611
  4. Step 4: Simplify right side
    191,526,154x = 88,309,777,701,891,328
  5. Step 5: Solve for x
    x = 88,309,777,701,891,328/191,526,154
  6. Step 6: Final answer
    x = 461,084,691.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.