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Finding the Third Proportional to 255,862,131 and 374,197,711

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Solution

The third proportional to 255,862,131 and 374,197,711 is: 547,263,193.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,862,131 : 374,197,711 = 374,197,711 : x
  2. Step 2: Convert to fraction form
    255,862,131/374,197,711 = 374,197,711/x
  3. Step 3: Cross multiply
    255,862,131x = 374,197,711 × 374,197,711
  4. Step 4: Simplify right side
    255,862,131x = 140,023,926,917,639,520
  5. Step 5: Solve for x
    x = 140,023,926,917,639,520/255,862,131
  6. Step 6: Final answer
    x = 547,263,193.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.