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Finding the Third Proportional to 46,722.38 and 99,561.38

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Solution

The third proportional to 46,722.38 and 99,561.38 is: 212,156.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,722.38 : 99,561.38 = 99,561.38 : x
  2. Step 2: Convert to fraction form
    46,722.38/99,561.38 = 99,561.38/x
  3. Step 3: Cross multiply
    46,722.38x = 99,561.38 × 99,561.38
  4. Step 4: Simplify right side
    46,722.38x = 9,912,467,391.89
  5. Step 5: Solve for x
    x = 9,912,467,391.89/46,722.38
  6. Step 6: Final answer
    x = 212,156.75

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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.