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Finding the Third Proportional to 44,594.30 and 97,184.81

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Solution

The third proportional to 44,594.30 and 97,184.81 is: 211,795.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,594.30 : 97,184.81 = 97,184.81 : x
  2. Step 2: Convert to fraction form
    44,594.30/97,184.81 = 97,184.81/x
  3. Step 3: Cross multiply
    44,594.30x = 97,184.81 × 97,184.81
  4. Step 4: Simplify right side
    44,594.30x = 9,444,887,780.66
  5. Step 5: Solve for x
    x = 9,444,887,780.66/44,594.30
  6. Step 6: Final answer
    x = 211,795.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.