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Finding the Third Proportional to 96,570 and 209,220

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Solution

The third proportional to 96,570 and 209,220 is: 453,277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,570 : 209,220 = 209,220 : x
  2. Step 2: Convert to fraction form
    96,570/209,220 = 209,220/x
  3. Step 3: Cross multiply
    96,570x = 209,220 × 209,220
  4. Step 4: Simplify right side
    96,570x = 43,773,008,400
  5. Step 5: Solve for x
    x = 43,773,008,400/96,570
  6. Step 6: Final answer
    x = 453,277.50

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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.