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Finding the Third Proportional to 96,709.50 and 210,231

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Solution

The third proportional to 96,709.50 and 210,231 is: 457,008.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,709.50 : 210,231 = 210,231 : x
  2. Step 2: Convert to fraction form
    96,709.50/210,231 = 210,231/x
  3. Step 3: Cross multiply
    96,709.50x = 210,231 × 210,231
  4. Step 4: Simplify right side
    96,709.50x = 44,197,073,361
  5. Step 5: Solve for x
    x = 44,197,073,361/96,709.50
  6. Step 6: Final answer
    x = 457,008.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.