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Finding the Third Proportional to 191,404,548 and 419,862,384

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Solution

The third proportional to 191,404,548 and 419,862,384 is: 921,004,350.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,404,548 : 419,862,384 = 419,862,384 : x
  2. Step 2: Convert to fraction form
    191,404,548/419,862,384 = 419,862,384/x
  3. Step 3: Cross multiply
    191,404,548x = 419,862,384 × 419,862,384
  4. Step 4: Simplify right side
    191,404,548x = 176,284,421,498,163,456
  5. Step 5: Solve for x
    x = 176,284,421,498,163,456/191,404,548
  6. Step 6: Final answer
    x = 921,004,350.94

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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.