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Finding the Third Proportional to 97,578 and 213,015.75

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Solution

The third proportional to 97,578 and 213,015.75 is: 465,019.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,578 : 213,015.75 = 213,015.75 : x
  2. Step 2: Convert to fraction form
    97,578/213,015.75 = 213,015.75/x
  3. Step 3: Cross multiply
    97,578x = 213,015.75 × 213,015.75
  4. Step 4: Simplify right side
    97,578x = 45,375,709,748.06
  5. Step 5: Solve for x
    x = 45,375,709,748.06/97,578
  6. Step 6: Final answer
    x = 465,019.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.