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Finding the Third Proportional to 162,332,199 and 347,649,174

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Solution

The third proportional to 162,332,199 and 347,649,174 is: 744,522,337.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,332,199 : 347,649,174 = 347,649,174 : x
  2. Step 2: Convert to fraction form
    162,332,199/347,649,174 = 347,649,174/x
  3. Step 3: Cross multiply
    162,332,199x = 347,649,174 × 347,649,174
  4. Step 4: Simplify right side
    162,332,199x = 120,859,948,182,882,272
  5. Step 5: Solve for x
    x = 120,859,948,182,882,272/162,332,199
  6. Step 6: Final answer
    x = 744,522,337.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.