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Finding the Third Proportional to 46,774.13 and 99,766.69

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Solution

The third proportional to 46,774.13 and 99,766.69 is: 212,796.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,774.13 : 99,766.69 = 99,766.69 : x
  2. Step 2: Convert to fraction form
    46,774.13/99,766.69 = 99,766.69/x
  3. Step 3: Cross multiply
    46,774.13x = 99,766.69 × 99,766.69
  4. Step 4: Simplify right side
    46,774.13x = 9,953,391,934.72
  5. Step 5: Solve for x
    x = 9,953,391,934.72/46,774.13
  6. Step 6: Final answer
    x = 212,796.97

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.