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Finding the Third Proportional to 96,807.50 and 205,153

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Solution

The third proportional to 96,807.50 and 205,153 is: 434,757.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,807.50 : 205,153 = 205,153 : x
  2. Step 2: Convert to fraction form
    96,807.50/205,153 = 205,153/x
  3. Step 3: Cross multiply
    96,807.50x = 205,153 × 205,153
  4. Step 4: Simplify right side
    96,807.50x = 42,087,753,409
  5. Step 5: Solve for x
    x = 42,087,753,409/96,807.50
  6. Step 6: Final answer
    x = 434,757.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.