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Finding the Third Proportional to 88,884,114 and 214,108,611

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Solution

The third proportional to 88,884,114 and 214,108,611 is: 515,755,799.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,884,114 : 214,108,611 = 214,108,611 : x
  2. Step 2: Convert to fraction form
    88,884,114/214,108,611 = 214,108,611/x
  3. Step 3: Cross multiply
    88,884,114x = 214,108,611 × 214,108,611
  4. Step 4: Simplify right side
    88,884,114x = 45,842,497,304,349,320
  5. Step 5: Solve for x
    x = 45,842,497,304,349,320/88,884,114
  6. Step 6: Final answer
    x = 515,755,799.79

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.