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Finding the Third Proportional to 46,182.09 and 99,954.66

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Solution

The third proportional to 46,182.09 and 99,954.66 is: 216,337.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,182.09 : 99,954.66 = 99,954.66 : x
  2. Step 2: Convert to fraction form
    46,182.09/99,954.66 = 99,954.66/x
  3. Step 3: Cross multiply
    46,182.09x = 99,954.66 × 99,954.66
  4. Step 4: Simplify right side
    46,182.09x = 9,990,933,306.06
  5. Step 5: Solve for x
    x = 9,990,933,306.06/46,182.09
  6. Step 6: Final answer
    x = 216,337.82

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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.