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Finding the Third Proportional to 119,642,256 and 259,703,552

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Solution

The third proportional to 119,642,256 and 259,703,552 is: 563,730,049.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,642,256 : 259,703,552 = 259,703,552 : x
  2. Step 2: Convert to fraction form
    119,642,256/259,703,552 = 259,703,552/x
  3. Step 3: Cross multiply
    119,642,256x = 259,703,552 × 259,703,552
  4. Step 4: Simplify right side
    119,642,256x = 67,445,934,921,416,704
  5. Step 5: Solve for x
    x = 67,445,934,921,416,704/119,642,256
  6. Step 6: Final answer
    x = 563,730,049.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.