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Finding the Third Proportional to 48,739,884 and 107,046,180

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Solution

The third proportional to 48,739,884 and 107,046,180 is: 235,102,829.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,739,884 : 107,046,180 = 107,046,180 : x
  2. Step 2: Convert to fraction form
    48,739,884/107,046,180 = 107,046,180/x
  3. Step 3: Cross multiply
    48,739,884x = 107,046,180 × 107,046,180
  4. Step 4: Simplify right side
    48,739,884x = 11,458,884,652,592,400
  5. Step 5: Solve for x
    x = 11,458,884,652,592,400/48,739,884
  6. Step 6: Final answer
    x = 235,102,829.80

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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.