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Finding the Third Proportional to 46,337.06 and 101,217.09

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Solution

The third proportional to 46,337.06 and 101,217.09 is: 221,095.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,337.06 : 101,217.09 = 101,217.09 : x
  2. Step 2: Convert to fraction form
    46,337.06/101,217.09 = 101,217.09/x
  3. Step 3: Cross multiply
    46,337.06x = 101,217.09 × 101,217.09
  4. Step 4: Simplify right side
    46,337.06x = 10,244,900,067.20
  5. Step 5: Solve for x
    x = 10,244,900,067.20/46,337.06
  6. Step 6: Final answer
    x = 221,095.16

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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.