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Finding the Third Proportional to 94,438.13 and 205,491.38

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Solution

The third proportional to 94,438.13 and 205,491.38 is: 447,136.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,438.13 : 205,491.38 = 205,491.38 : x
  2. Step 2: Convert to fraction form
    94,438.13/205,491.38 = 205,491.38/x
  3. Step 3: Cross multiply
    94,438.13x = 205,491.38 × 205,491.38
  4. Step 4: Simplify right side
    94,438.13x = 42,226,705,199.39
  5. Step 5: Solve for x
    x = 42,226,705,199.39/94,438.13
  6. Step 6: Final answer
    x = 447,136.21

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.