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Finding the Third Proportional to 97,407 and 209,380.50

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Solution

The third proportional to 97,407 and 209,380.50 is: 450,072.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,407 : 209,380.50 = 209,380.50 : x
  2. Step 2: Convert to fraction form
    97,407/209,380.50 = 209,380.50/x
  3. Step 3: Cross multiply
    97,407x = 209,380.50 × 209,380.50
  4. Step 4: Simplify right side
    97,407x = 43,840,193,780.25
  5. Step 5: Solve for x
    x = 43,840,193,780.25/97,407
  6. Step 6: Final answer
    x = 450,072.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.