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Finding the Third Proportional to 98,550 and 216,780.75

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Solution

The third proportional to 98,550 and 216,780.75 is: 476,853.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,550 : 216,780.75 = 216,780.75 : x
  2. Step 2: Convert to fraction form
    98,550/216,780.75 = 216,780.75/x
  3. Step 3: Cross multiply
    98,550x = 216,780.75 × 216,780.75
  4. Step 4: Simplify right side
    98,550x = 46,993,893,570.56
  5. Step 5: Solve for x
    x = 46,993,893,570.56/98,550
  6. Step 6: Final answer
    x = 476,853.31

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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.