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Finding the Third Proportional to 98,703 and 216,609.75

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Solution

The third proportional to 98,703 and 216,609.75 is: 475,363.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,703 : 216,609.75 = 216,609.75 : x
  2. Step 2: Convert to fraction form
    98,703/216,609.75 = 216,609.75/x
  3. Step 3: Cross multiply
    98,703x = 216,609.75 × 216,609.75
  4. Step 4: Simplify right side
    98,703x = 46,919,783,795.06
  5. Step 5: Solve for x
    x = 46,919,783,795.06/98,703
  6. Step 6: Final answer
    x = 475,363.30

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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.