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Finding the Third Proportional to 98,596 and 215,209

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Solution

The third proportional to 98,596 and 215,209 is: 469,744.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,596 : 215,209 = 215,209 : x
  2. Step 2: Convert to fraction form
    98,596/215,209 = 215,209/x
  3. Step 3: Cross multiply
    98,596x = 215,209 × 215,209
  4. Step 4: Simplify right side
    98,596x = 46,314,913,681
  5. Step 5: Solve for x
    x = 46,314,913,681/98,596
  6. Step 6: Final answer
    x = 469,744.35

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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.