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Finding the Third Proportional to 87,645,216 and 136,773,696

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Solution

The third proportional to 87,645,216 and 136,773,696 is: 213,440,559.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,645,216 : 136,773,696 = 136,773,696 : x
  2. Step 2: Convert to fraction form
    87,645,216/136,773,696 = 136,773,696/x
  3. Step 3: Cross multiply
    87,645,216x = 136,773,696 × 136,773,696
  4. Step 4: Simplify right side
    87,645,216x = 18,707,043,917,500,416
  5. Step 5: Solve for x
    x = 18,707,043,917,500,416/87,645,216
  6. Step 6: Final answer
    x = 213,440,559.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.