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Finding the Third Proportional to 78,776,932.50 and 126,572,604.75

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Solution

The third proportional to 78,776,932.50 and 126,572,604.75 is: 203,366,947.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,776,932.50 : 126,572,604.75 = 126,572,604.75 : x
  2. Step 2: Convert to fraction form
    78,776,932.50/126,572,604.75 = 126,572,604.75/x
  3. Step 3: Cross multiply
    78,776,932.50x = 126,572,604.75 × 126,572,604.75
  4. Step 4: Simplify right side
    78,776,932.50x = 16,020,624,273,199,722
  5. Step 5: Solve for x
    x = 16,020,624,273,199,722/78,776,932.50
  6. Step 6: Final answer
    x = 203,366,947.21

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.