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Finding the Third Proportional to 90,001.13 and 212,184.56

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Solution

The third proportional to 90,001.13 and 212,184.56 is: 500,241.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,001.13 : 212,184.56 = 212,184.56 : x
  2. Step 2: Convert to fraction form
    90,001.13/212,184.56 = 212,184.56/x
  3. Step 3: Cross multiply
    90,001.13x = 212,184.56 × 212,184.56
  4. Step 4: Simplify right side
    90,001.13x = 45,022,288,563.32
  5. Step 5: Solve for x
    x = 45,022,288,563.32/90,001.13
  6. Step 6: Final answer
    x = 500,241.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.