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Finding the Third Proportional to 98,815 and 216,085

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Solution

The third proportional to 98,815 and 216,085 is: 472,526.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,815 : 216,085 = 216,085 : x
  2. Step 2: Convert to fraction form
    98,815/216,085 = 216,085/x
  3. Step 3: Cross multiply
    98,815x = 216,085 × 216,085
  4. Step 4: Simplify right side
    98,815x = 46,692,727,225
  5. Step 5: Solve for x
    x = 46,692,727,225/98,815
  6. Step 6: Final answer
    x = 472,526.71

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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.