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Finding the Third Proportional to 48,888,048 and 107,538,448

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Solution

The third proportional to 48,888,048 and 107,538,448 is: 236,551,023.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,888,048 : 107,538,448 = 107,538,448 : x
  2. Step 2: Convert to fraction form
    48,888,048/107,538,448 = 107,538,448/x
  3. Step 3: Cross multiply
    48,888,048x = 107,538,448 × 107,538,448
  4. Step 4: Simplify right side
    48,888,048x = 11,564,517,798,248,704
  5. Step 5: Solve for x
    x = 11,564,517,798,248,704/48,888,048
  6. Step 6: Final answer
    x = 236,551,023.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.