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Finding the Third Proportional to 83,270,600 and 180,442,096

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Solution

The third proportional to 83,270,600 and 180,442,096 is: 391,006,549.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,270,600 : 180,442,096 = 180,442,096 : x
  2. Step 2: Convert to fraction form
    83,270,600/180,442,096 = 180,442,096/x
  3. Step 3: Cross multiply
    83,270,600x = 180,442,096 × 180,442,096
  4. Step 4: Simplify right side
    83,270,600x = 32,559,350,008,873,216
  5. Step 5: Solve for x
    x = 32,559,350,008,873,216/83,270,600
  6. Step 6: Final answer
    x = 391,006,549.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.