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Finding the Third Proportional to 45,680 and 98,596

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Solution

The third proportional to 45,680 and 98,596 is: 212,810.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,680 : 98,596 = 98,596 : x
  2. Step 2: Convert to fraction form
    45,680/98,596 = 98,596/x
  3. Step 3: Cross multiply
    45,680x = 98,596 × 98,596
  4. Step 4: Simplify right side
    45,680x = 9,721,171,216
  5. Step 5: Solve for x
    x = 9,721,171,216/45,680
  6. Step 6: Final answer
    x = 212,810.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.