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Finding the Third Proportional to 96,207,750 and 210,056,799

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Solution

The third proportional to 96,207,750 and 210,056,799 is: 458,631,023.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,207,750 : 210,056,799 = 210,056,799 : x
  2. Step 2: Convert to fraction form
    96,207,750/210,056,799 = 210,056,799/x
  3. Step 3: Cross multiply
    96,207,750x = 210,056,799 × 210,056,799
  4. Step 4: Simplify right side
    96,207,750x = 44,123,858,806,126,400
  5. Step 5: Solve for x
    x = 44,123,858,806,126,400/96,207,750
  6. Step 6: Final answer
    x = 458,631,023.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.