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Finding the Third Proportional to 191,587,977 and 419,446,775

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Solution

The third proportional to 191,587,977 and 419,446,775 is: 918,301,867.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,587,977 : 419,446,775 = 419,446,775 : x
  2. Step 2: Convert to fraction form
    191,587,977/419,446,775 = 419,446,775/x
  3. Step 3: Cross multiply
    191,587,977x = 419,446,775 × 419,446,775
  4. Step 4: Simplify right side
    191,587,977x = 175,935,597,057,900,640
  5. Step 5: Solve for x
    x = 175,935,597,057,900,640/191,587,977
  6. Step 6: Final answer
    x = 918,301,867.44

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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.