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Finding the Third Proportional to 96,609.88 and 210,380.50

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Solution

The third proportional to 96,609.88 and 210,380.50 is: 458,130.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,609.88 : 210,380.50 = 210,380.50 : x
  2. Step 2: Convert to fraction form
    96,609.88/210,380.50 = 210,380.50/x
  3. Step 3: Cross multiply
    96,609.88x = 210,380.50 × 210,380.50
  4. Step 4: Simplify right side
    96,609.88x = 44,259,954,780.25
  5. Step 5: Solve for x
    x = 44,259,954,780.25/96,609.88
  6. Step 6: Final answer
    x = 458,130.75

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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.