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Finding the Third Proportional to 46,182.31 and 99,954.75

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Solution

The third proportional to 46,182.31 and 99,954.75 is: 216,337.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,182.31 : 99,954.75 = 99,954.75 : x
  2. Step 2: Convert to fraction form
    46,182.31/99,954.75 = 99,954.75/x
  3. Step 3: Cross multiply
    46,182.31x = 99,954.75 × 99,954.75
  4. Step 4: Simplify right side
    46,182.31x = 9,990,952,047.56
  5. Step 5: Solve for x
    x = 9,990,952,047.56/46,182.31
  6. Step 6: Final answer
    x = 216,337.20

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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.