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Finding the Third Proportional to 45,209 and 98,518

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Solution

The third proportional to 45,209 and 98,518 is: 214,687.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,209 : 98,518 = 98,518 : x
  2. Step 2: Convert to fraction form
    45,209/98,518 = 98,518/x
  3. Step 3: Cross multiply
    45,209x = 98,518 × 98,518
  4. Step 4: Simplify right side
    45,209x = 9,705,796,324
  5. Step 5: Solve for x
    x = 9,705,796,324/45,209
  6. Step 6: Final answer
    x = 214,687.26

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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.