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Finding the Third Proportional to 90,000 and 196,948

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Solution

The third proportional to 90,000 and 196,948 is: 430,983.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,000 : 196,948 = 196,948 : x
  2. Step 2: Convert to fraction form
    90,000/196,948 = 196,948/x
  3. Step 3: Cross multiply
    90,000x = 196,948 × 196,948
  4. Step 4: Simplify right side
    90,000x = 38,788,514,704
  5. Step 5: Solve for x
    x = 38,788,514,704/90,000
  6. Step 6: Final answer
    x = 430,983.50

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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.