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Finding the Third Proportional to 45,166,208 and 96,158,656

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Solution

The third proportional to 45,166,208 and 96,158,656 is: 204,721,351.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,166,208 : 96,158,656 = 96,158,656 : x
  2. Step 2: Convert to fraction form
    45,166,208/96,158,656 = 96,158,656/x
  3. Step 3: Cross multiply
    45,166,208x = 96,158,656 × 96,158,656
  4. Step 4: Simplify right side
    45,166,208x = 9,246,487,123,726,336
  5. Step 5: Solve for x
    x = 9,246,487,123,726,336/45,166,208
  6. Step 6: Final answer
    x = 204,721,351.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.