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Finding the Third Proportional to 191,404,524 and 419,862,336

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Solution

The third proportional to 191,404,524 and 419,862,336 is: 921,004,255.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,404,524 : 419,862,336 = 419,862,336 : x
  2. Step 2: Convert to fraction form
    191,404,524/419,862,336 = 419,862,336/x
  3. Step 3: Cross multiply
    191,404,524x = 419,862,336 × 419,862,336
  4. Step 4: Simplify right side
    191,404,524x = 176,284,381,191,376,896
  5. Step 5: Solve for x
    x = 176,284,381,191,376,896/191,404,524
  6. Step 6: Final answer
    x = 921,004,255.84

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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.