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Finding the Third Proportional to 88,633 and 194,487

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Solution

The third proportional to 88,633 and 194,487 is: 426,761.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,633 : 194,487 = 194,487 : x
  2. Step 2: Convert to fraction form
    88,633/194,487 = 194,487/x
  3. Step 3: Cross multiply
    88,633x = 194,487 × 194,487
  4. Step 4: Simplify right side
    88,633x = 37,825,193,169
  5. Step 5: Solve for x
    x = 37,825,193,169/88,633
  6. Step 6: Final answer
    x = 426,761.96

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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.