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Finding the Third Proportional to 44,364.66 and 97,332.19

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Solution

The third proportional to 44,364.66 and 97,332.19 is: 213,538.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,364.66 : 97,332.19 = 97,332.19 : x
  2. Step 2: Convert to fraction form
    44,364.66/97,332.19 = 97,332.19/x
  3. Step 3: Cross multiply
    44,364.66x = 97,332.19 × 97,332.19
  4. Step 4: Simplify right side
    44,364.66x = 9,473,554,723.54
  5. Step 5: Solve for x
    x = 9,473,554,723.54/44,364.66
  6. Step 6: Final answer
    x = 213,538.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.