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Finding the Third Proportional to 98,952.75 and 216,051.19

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Solution

The third proportional to 98,952.75 and 216,051.19 is: 471,721.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,952.75 : 216,051.19 = 216,051.19 : x
  2. Step 2: Convert to fraction form
    98,952.75/216,051.19 = 216,051.19/x
  3. Step 3: Cross multiply
    98,952.75x = 216,051.19 × 216,051.19
  4. Step 4: Simplify right side
    98,952.75x = 46,678,115,620.16
  5. Step 5: Solve for x
    x = 46,678,115,620.16/98,952.75
  6. Step 6: Final answer
    x = 471,721.26

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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.