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Finding the Third Proportional to 107,865 and 168,838.50

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Solution

The third proportional to 107,865 and 168,838.50 is: 264,278.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,865 : 168,838.50 = 168,838.50 : x
  2. Step 2: Convert to fraction form
    107,865/168,838.50 = 168,838.50/x
  3. Step 3: Cross multiply
    107,865x = 168,838.50 × 168,838.50
  4. Step 4: Simplify right side
    107,865x = 28,506,439,082.25
  5. Step 5: Solve for x
    x = 28,506,439,082.25/107,865
  6. Step 6: Final answer
    x = 264,278.86

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.