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Finding the Third Proportional to 97,107.50 and 211,867.50

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Solution

The third proportional to 97,107.50 and 211,867.50 is: 462,248.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,107.50 : 211,867.50 = 211,867.50 : x
  2. Step 2: Convert to fraction form
    97,107.50/211,867.50 = 211,867.50/x
  3. Step 3: Cross multiply
    97,107.50x = 211,867.50 × 211,867.50
  4. Step 4: Simplify right side
    97,107.50x = 44,887,837,556.25
  5. Step 5: Solve for x
    x = 44,887,837,556.25/97,107.50
  6. Step 6: Final answer
    x = 462,248.93

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.