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Finding the Third Proportional to 67,144,423.50 and 106,769,947.50

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Solution

The third proportional to 67,144,423.50 and 106,769,947.50 is: 169,780,617.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,144,423.50 : 106,769,947.50 = 106,769,947.50 : x
  2. Step 2: Convert to fraction form
    67,144,423.50/106,769,947.50 = 106,769,947.50/x
  3. Step 3: Cross multiply
    67,144,423.50x = 106,769,947.50 × 106,769,947.50
  4. Step 4: Simplify right side
    67,144,423.50x = 11,399,821,689,152,756
  5. Step 5: Solve for x
    x = 11,399,821,689,152,756/67,144,423.50
  6. Step 6: Final answer
    x = 169,780,617.58

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.