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Finding the Third Proportional to 44,335.69 and 97,286.63

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Solution

The third proportional to 44,335.69 and 97,286.63 is: 213,477.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,335.69 : 97,286.63 = 97,286.63 : x
  2. Step 2: Convert to fraction form
    44,335.69/97,286.63 = 97,286.63/x
  3. Step 3: Cross multiply
    44,335.69x = 97,286.63 × 97,286.63
  4. Step 4: Simplify right side
    44,335.69x = 9,464,687,403.89
  5. Step 5: Solve for x
    x = 9,464,687,403.89/44,335.69
  6. Step 6: Final answer
    x = 213,477.85

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