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Finding the Third Proportional to 46,166.20 and 99,713.53

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Solution

The third proportional to 46,166.20 and 99,713.53 is: 215,369.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,166.20 : 99,713.53 = 99,713.53 : x
  2. Step 2: Convert to fraction form
    46,166.20/99,713.53 = 99,713.53/x
  3. Step 3: Cross multiply
    46,166.20x = 99,713.53 × 99,713.53
  4. Step 4: Simplify right side
    46,166.20x = 9,942,788,314.34
  5. Step 5: Solve for x
    x = 9,942,788,314.34/46,166.20
  6. Step 6: Final answer
    x = 215,369.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.