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Finding the Third Proportional to 48,126,734 and 103,924,140

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Solution

The third proportional to 48,126,734 and 103,924,140 is: 224,412,212.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,126,734 : 103,924,140 = 103,924,140 : x
  2. Step 2: Convert to fraction form
    48,126,734/103,924,140 = 103,924,140/x
  3. Step 3: Cross multiply
    48,126,734x = 103,924,140 × 103,924,140
  4. Step 4: Simplify right side
    48,126,734x = 10,800,226,874,739,600
  5. Step 5: Solve for x
    x = 10,800,226,874,739,600/48,126,734
  6. Step 6: Final answer
    x = 224,412,212.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.