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Finding the Third Proportional to 77,926,248 and 169,416,366

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Solution

The third proportional to 77,926,248 and 169,416,366 is: 368,321,403.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,926,248 : 169,416,366 = 169,416,366 : x
  2. Step 2: Convert to fraction form
    77,926,248/169,416,366 = 169,416,366/x
  3. Step 3: Cross multiply
    77,926,248x = 169,416,366 × 169,416,366
  4. Step 4: Simplify right side
    77,926,248x = 28,701,905,068,645,956
  5. Step 5: Solve for x
    x = 28,701,905,068,645,956/77,926,248
  6. Step 6: Final answer
    x = 368,321,403.96

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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.