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Finding the Third Proportional to 46,447.17 and 82,999.69

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Solution

The third proportional to 46,447.17 and 82,999.69 is: 148,317.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,447.17 : 82,999.69 = 82,999.69 : x
  2. Step 2: Convert to fraction form
    46,447.17/82,999.69 = 82,999.69/x
  3. Step 3: Cross multiply
    46,447.17x = 82,999.69 × 82,999.69
  4. Step 4: Simplify right side
    46,447.17x = 6,888,948,125.10
  5. Step 5: Solve for x
    x = 6,888,948,125.10/46,447.17
  6. Step 6: Final answer
    x = 148,317.92

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These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.