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Finding the Third Proportional to 98,537.63 and 216,757.13

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Solution

The third proportional to 98,537.63 and 216,757.13 is: 476,809.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,537.63 : 216,757.13 = 216,757.13 : x
  2. Step 2: Convert to fraction form
    98,537.63/216,757.13 = 216,757.13/x
  3. Step 3: Cross multiply
    98,537.63x = 216,757.13 × 216,757.13
  4. Step 4: Simplify right side
    98,537.63x = 46,983,651,238.27
  5. Step 5: Solve for x
    x = 46,983,651,238.27/98,537.63
  6. Step 6: Final answer
    x = 476,809.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.