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Finding the Third Proportional to 98,874 and 210,859.50

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Solution

The third proportional to 98,874 and 210,859.50 is: 449,680.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,874 : 210,859.50 = 210,859.50 : x
  2. Step 2: Convert to fraction form
    98,874/210,859.50 = 210,859.50/x
  3. Step 3: Cross multiply
    98,874x = 210,859.50 × 210,859.50
  4. Step 4: Simplify right side
    98,874x = 44,461,728,740.25
  5. Step 5: Solve for x
    x = 44,461,728,740.25/98,874
  6. Step 6: Final answer
    x = 449,680.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.