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Finding the Third Proportional to 92,674.13 and 216,000.42

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Solution

The third proportional to 92,674.13 and 216,000.42 is: 503,443.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,674.13 : 216,000.42 = 216,000.42 : x
  2. Step 2: Convert to fraction form
    92,674.13/216,000.42 = 216,000.42/x
  3. Step 3: Cross multiply
    92,674.13x = 216,000.42 × 216,000.42
  4. Step 4: Simplify right side
    92,674.13x = 46,656,182,250.18
  5. Step 5: Solve for x
    x = 46,656,182,250.18/92,674.13
  6. Step 6: Final answer
    x = 503,443.46

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.