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Finding the Third Proportional to 45,216 and 98,530

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Solution

The third proportional to 45,216 and 98,530 is: 214,706.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,216 : 98,530 = 98,530 : x
  2. Step 2: Convert to fraction form
    45,216/98,530 = 98,530/x
  3. Step 3: Cross multiply
    45,216x = 98,530 × 98,530
  4. Step 4: Simplify right side
    45,216x = 9,708,160,900
  5. Step 5: Solve for x
    x = 9,708,160,900/45,216
  6. Step 6: Final answer
    x = 214,706.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.