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Finding the Third Proportional to 591,204,241.13 and 831,489,208.88

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Solution

The third proportional to 591,204,241.13 and 831,489,208.88 is: 1,169,433,939.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,204,241.13 : 831,489,208.88 = 831,489,208.88 : x
  2. Step 2: Convert to fraction form
    591,204,241.13/831,489,208.88 = 831,489,208.88/x
  3. Step 3: Cross multiply
    591,204,241.13x = 831,489,208.88 × 831,489,208.88
  4. Step 4: Simplify right side
    591,204,241.13x = 691,374,304,475,573,376
  5. Step 5: Solve for x
    x = 691,374,304,475,573,376/591,204,241.13
  6. Step 6: Final answer
    x = 1,169,433,939.04

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.