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Finding the Third Proportional to 90,469 and 197,700.50

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Solution

The third proportional to 90,469 and 197,700.50 is: 432,031.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,469 : 197,700.50 = 197,700.50 : x
  2. Step 2: Convert to fraction form
    90,469/197,700.50 = 197,700.50/x
  3. Step 3: Cross multiply
    90,469x = 197,700.50 × 197,700.50
  4. Step 4: Simplify right side
    90,469x = 39,085,487,700.25
  5. Step 5: Solve for x
    x = 39,085,487,700.25/90,469
  6. Step 6: Final answer
    x = 432,031.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.