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Finding the Third Proportional to 88,786 and 190,747

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Solution

The third proportional to 88,786 and 190,747 is: 409,799.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,786 : 190,747 = 190,747 : x
  2. Step 2: Convert to fraction form
    88,786/190,747 = 190,747/x
  3. Step 3: Cross multiply
    88,786x = 190,747 × 190,747
  4. Step 4: Simplify right side
    88,786x = 36,384,418,009
  5. Step 5: Solve for x
    x = 36,384,418,009/88,786
  6. Step 6: Final answer
    x = 409,799.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.