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Finding the Third Proportional to 191,587,985.25 and 419,446,778.25

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Solution

The third proportional to 191,587,985.25 and 419,446,778.25 is: 918,301,842.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,587,985.25 : 419,446,778.25 = 419,446,778.25 : x
  2. Step 2: Convert to fraction form
    191,587,985.25/419,446,778.25 = 419,446,778.25/x
  3. Step 3: Cross multiply
    191,587,985.25x = 419,446,778.25 × 419,446,778.25
  4. Step 4: Simplify right side
    191,587,985.25x = 175,935,599,784,304,672
  5. Step 5: Solve for x
    x = 175,935,599,784,304,672/191,587,985.25
  6. Step 6: Final answer
    x = 918,301,842.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.