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Finding the Third Proportional to 98,475.75 and 216,097.88

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Solution

The third proportional to 98,475.75 and 216,097.88 is: 474,211.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,475.75 : 216,097.88 = 216,097.88 : x
  2. Step 2: Convert to fraction form
    98,475.75/216,097.88 = 216,097.88/x
  3. Step 3: Cross multiply
    98,475.75x = 216,097.88 × 216,097.88
  4. Step 4: Simplify right side
    98,475.75x = 46,698,291,579.52
  5. Step 5: Solve for x
    x = 46,698,291,579.52/98,475.75
  6. Step 6: Final answer
    x = 474,211.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.