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Finding the Third Proportional to 121,384,714 and 177,468,696

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Solution

The third proportional to 121,384,714 and 177,468,696 is: 259,465,438.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,384,714 : 177,468,696 = 177,468,696 : x
  2. Step 2: Convert to fraction form
    121,384,714/177,468,696 = 177,468,696/x
  3. Step 3: Cross multiply
    121,384,714x = 177,468,696 × 177,468,696
  4. Step 4: Simplify right side
    121,384,714x = 31,495,138,059,940,416
  5. Step 5: Solve for x
    x = 31,495,138,059,940,416/121,384,714
  6. Step 6: Final answer
    x = 259,465,438.62

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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.