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Finding the Third Proportional to 90,728.23 and 197,372.00

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Solution

The third proportional to 90,728.23 and 197,372.00 is: 429,367.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,728.23 : 197,372.00 = 197,372.00 : x
  2. Step 2: Convert to fraction form
    90,728.23/197,372.00 = 197,372.00/x
  3. Step 3: Cross multiply
    90,728.23x = 197,372.00 × 197,372.00
  4. Step 4: Simplify right side
    90,728.23x = 38,955,707,925.97
  5. Step 5: Solve for x
    x = 38,955,707,925.97/90,728.23
  6. Step 6: Final answer
    x = 429,367.02

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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.