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Finding the Third Proportional to 54,538,188 and 86,822,922

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Solution

The third proportional to 54,538,188 and 86,822,922 is: 138,219,109.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,538,188 : 86,822,922 = 86,822,922 : x
  2. Step 2: Convert to fraction form
    54,538,188/86,822,922 = 86,822,922/x
  3. Step 3: Cross multiply
    54,538,188x = 86,822,922 × 86,822,922
  4. Step 4: Simplify right side
    54,538,188x = 7,538,219,784,618,084
  5. Step 5: Solve for x
    x = 7,538,219,784,618,084/54,538,188
  6. Step 6: Final answer
    x = 138,219,109.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.