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Finding the Third Proportional to 191,037,902 and 409,320,448

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Solution

The third proportional to 191,037,902 and 409,320,448 is: 877,015,646.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,037,902 : 409,320,448 = 409,320,448 : x
  2. Step 2: Convert to fraction form
    191,037,902/409,320,448 = 409,320,448/x
  3. Step 3: Cross multiply
    191,037,902x = 409,320,448 × 409,320,448
  4. Step 4: Simplify right side
    191,037,902x = 167,543,229,150,920,704
  5. Step 5: Solve for x
    x = 167,543,229,150,920,704/191,037,902
  6. Step 6: Final answer
    x = 877,015,646.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.