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Finding the Third Proportional to 83,613,764 and 180,041,160

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Solution

The third proportional to 83,613,764 and 180,041,160 is: 387,673,245.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,613,764 : 180,041,160 = 180,041,160 : x
  2. Step 2: Convert to fraction form
    83,613,764/180,041,160 = 180,041,160/x
  3. Step 3: Cross multiply
    83,613,764x = 180,041,160 × 180,041,160
  4. Step 4: Simplify right side
    83,613,764x = 32,414,819,294,145,600
  5. Step 5: Solve for x
    x = 32,414,819,294,145,600/83,613,764
  6. Step 6: Final answer
    x = 387,673,245.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.