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Finding the Third Proportional to 94,692.38 and 207,199.69

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Solution

The third proportional to 94,692.38 and 207,199.69 is: 453,380.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,692.38 : 207,199.69 = 207,199.69 : x
  2. Step 2: Convert to fraction form
    94,692.38/207,199.69 = 207,199.69/x
  3. Step 3: Cross multiply
    94,692.38x = 207,199.69 × 207,199.69
  4. Step 4: Simplify right side
    94,692.38x = 42,931,710,500.10
  5. Step 5: Solve for x
    x = 42,931,710,500.10/94,692.38
  6. Step 6: Final answer
    x = 453,380.86

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.