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Finding the Third Proportional to 191,404,544 and 419,862,376

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Solution

The third proportional to 191,404,544 and 419,862,376 is: 921,004,335.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,404,544 : 419,862,376 = 419,862,376 : x
  2. Step 2: Convert to fraction form
    191,404,544/419,862,376 = 419,862,376/x
  3. Step 3: Cross multiply
    191,404,544x = 419,862,376 × 419,862,376
  4. Step 4: Simplify right side
    191,404,544x = 176,284,414,780,365,376
  5. Step 5: Solve for x
    x = 176,284,414,780,365,376/191,404,544
  6. Step 6: Final answer
    x = 921,004,335.09

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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.