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Finding the Third Proportional to 98,545 and 216,165

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Solution

The third proportional to 98,545 and 216,165 is: 474,172.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,545 : 216,165 = 216,165 : x
  2. Step 2: Convert to fraction form
    98,545/216,165 = 216,165/x
  3. Step 3: Cross multiply
    98,545x = 216,165 × 216,165
  4. Step 4: Simplify right side
    98,545x = 46,727,307,225
  5. Step 5: Solve for x
    x = 46,727,307,225/98,545
  6. Step 6: Final answer
    x = 474,172.28

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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.