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Finding the Third Proportional to 88,486 and 191,047

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Solution

The third proportional to 88,486 and 191,047 is: 412,482.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,486 : 191,047 = 191,047 : x
  2. Step 2: Convert to fraction form
    88,486/191,047 = 191,047/x
  3. Step 3: Cross multiply
    88,486x = 191,047 × 191,047
  4. Step 4: Simplify right side
    88,486x = 36,498,956,209
  5. Step 5: Solve for x
    x = 36,498,956,209/88,486
  6. Step 6: Final answer
    x = 412,482.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.