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Finding the Third Proportional to 46,168.50 and 99,720

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Solution

The third proportional to 46,168.50 and 99,720 is: 215,386.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,168.50 : 99,720 = 99,720 : x
  2. Step 2: Convert to fraction form
    46,168.50/99,720 = 99,720/x
  3. Step 3: Cross multiply
    46,168.50x = 99,720 × 99,720
  4. Step 4: Simplify right side
    46,168.50x = 9,944,078,400
  5. Step 5: Solve for x
    x = 9,944,078,400/46,168.50
  6. Step 6: Final answer
    x = 215,386.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.