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Finding the Third Proportional to 96,877.50 and 209,043

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Solution

The third proportional to 96,877.50 and 209,043 is: 451,074.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,877.50 : 209,043 = 209,043 : x
  2. Step 2: Convert to fraction form
    96,877.50/209,043 = 209,043/x
  3. Step 3: Cross multiply
    96,877.50x = 209,043 × 209,043
  4. Step 4: Simplify right side
    96,877.50x = 43,698,975,849
  5. Step 5: Solve for x
    x = 43,698,975,849/96,877.50
  6. Step 6: Final answer
    x = 451,074.56

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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.