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Finding the Third Proportional to 48,126,725 and 103,924,123

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Solution

The third proportional to 48,126,725 and 103,924,123 is: 224,412,181.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,126,725 : 103,924,123 = 103,924,123 : x
  2. Step 2: Convert to fraction form
    48,126,725/103,924,123 = 103,924,123/x
  3. Step 3: Cross multiply
    48,126,725x = 103,924,123 × 103,924,123
  4. Step 4: Simplify right side
    48,126,725x = 10,800,223,341,319,128
  5. Step 5: Solve for x
    x = 10,800,223,341,319,128/48,126,725
  6. Step 6: Final answer
    x = 224,412,181.41

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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.