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Finding the Third Proportional to 98,062.50 and 211,677

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Solution

The third proportional to 98,062.50 and 211,677 is: 456,924.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,062.50 : 211,677 = 211,677 : x
  2. Step 2: Convert to fraction form
    98,062.50/211,677 = 211,677/x
  3. Step 3: Cross multiply
    98,062.50x = 211,677 × 211,677
  4. Step 4: Simplify right side
    98,062.50x = 44,807,152,329
  5. Step 5: Solve for x
    x = 44,807,152,329/98,062.50
  6. Step 6: Final answer
    x = 456,924.43

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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.