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Finding the Third Proportional to 88,624.13 and 194,474.25

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Solution

The third proportional to 88,624.13 and 194,474.25 is: 426,748.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,624.13 : 194,474.25 = 194,474.25 : x
  2. Step 2: Convert to fraction form
    88,624.13/194,474.25 = 194,474.25/x
  3. Step 3: Cross multiply
    88,624.13x = 194,474.25 × 194,474.25
  4. Step 4: Simplify right side
    88,624.13x = 37,820,233,913.06
  5. Step 5: Solve for x
    x = 37,820,233,913.06/88,624.13
  6. Step 6: Final answer
    x = 426,748.74

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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.