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Finding the Third Proportional to 174,542,148.50 and 260,299,613.63

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Solution

The third proportional to 174,542,148.50 and 260,299,613.63 is: 388,192,132.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,542,148.50 : 260,299,613.63 = 260,299,613.63 : x
  2. Step 2: Convert to fraction form
    174,542,148.50/260,299,613.63 = 260,299,613.63/x
  3. Step 3: Cross multiply
    174,542,148.50x = 260,299,613.63 × 260,299,613.63
  4. Step 4: Simplify right side
    174,542,148.50x = 67,755,888,853,324,288
  5. Step 5: Solve for x
    x = 67,755,888,853,324,288/174,542,148.50
  6. Step 6: Final answer
    x = 388,192,132.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.