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Finding the Third Proportional to 191,404,516 and 419,862,320

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Solution

The third proportional to 191,404,516 and 419,862,320 is: 921,004,224.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,404,516 : 419,862,320 = 419,862,320 : x
  2. Step 2: Convert to fraction form
    191,404,516/419,862,320 = 419,862,320/x
  3. Step 3: Cross multiply
    191,404,516x = 419,862,320 × 419,862,320
  4. Step 4: Simplify right side
    191,404,516x = 176,284,367,755,782,400
  5. Step 5: Solve for x
    x = 176,284,367,755,782,400/191,404,516
  6. Step 6: Final answer
    x = 921,004,224.14

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