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Finding the Third Proportional to 90,073.13 and 196,000.88

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Solution

The third proportional to 90,073.13 and 196,000.88 is: 426,501.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,073.13 : 196,000.88 = 196,000.88 : x
  2. Step 2: Convert to fraction form
    90,073.13/196,000.88 = 196,000.88/x
  3. Step 3: Cross multiply
    90,073.13x = 196,000.88 × 196,000.88
  4. Step 4: Simplify right side
    90,073.13x = 38,416,343,000.77
  5. Step 5: Solve for x
    x = 38,416,343,000.77/90,073.13
  6. Step 6: Final answer
    x = 426,501.72

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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.