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Finding the Third Proportional to 90,830.11 and 195,541.59

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Solution

The third proportional to 90,830.11 and 195,541.59 is: 420,967.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,830.11 : 195,541.59 = 195,541.59 : x
  2. Step 2: Convert to fraction form
    90,830.11/195,541.59 = 195,541.59/x
  3. Step 3: Cross multiply
    90,830.11x = 195,541.59 × 195,541.59
  4. Step 4: Simplify right side
    90,830.11x = 38,236,514,886.29
  5. Step 5: Solve for x
    x = 38,236,514,886.29/90,830.11
  6. Step 6: Final answer
    x = 420,967.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.