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Finding the Third Proportional to 159,309,123.75 and 246,038,630.25

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Solution

The third proportional to 159,309,123.75 and 246,038,630.25 is: 379,984,561.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,309,123.75 : 246,038,630.25 = 246,038,630.25 : x
  2. Step 2: Convert to fraction form
    159,309,123.75/246,038,630.25 = 246,038,630.25/x
  3. Step 3: Cross multiply
    159,309,123.75x = 246,038,630.25 × 246,038,630.25
  4. Step 4: Simplify right side
    159,309,123.75x = 60,535,007,575,296,216
  5. Step 5: Solve for x
    x = 60,535,007,575,296,216/159,309,123.75
  6. Step 6: Final answer
    x = 379,984,561.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.