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Finding the Third Proportional to 97,530.75 and 209,610.75

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Solution

The third proportional to 97,530.75 and 209,610.75 is: 450,490.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,530.75 : 209,610.75 = 209,610.75 : x
  2. Step 2: Convert to fraction form
    97,530.75/209,610.75 = 209,610.75/x
  3. Step 3: Cross multiply
    97,530.75x = 209,610.75 × 209,610.75
  4. Step 4: Simplify right side
    97,530.75x = 43,936,666,515.56
  5. Step 5: Solve for x
    x = 43,936,666,515.56/97,530.75
  6. Step 6: Final answer
    x = 450,490.40

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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.