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Finding the Third Proportional to 95,857.13 and 207,583.50

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Solution

The third proportional to 95,857.13 and 207,583.50 is: 449,532.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,857.13 : 207,583.50 = 207,583.50 : x
  2. Step 2: Convert to fraction form
    95,857.13/207,583.50 = 207,583.50/x
  3. Step 3: Cross multiply
    95,857.13x = 207,583.50 × 207,583.50
  4. Step 4: Simplify right side
    95,857.13x = 43,090,909,472.25
  5. Step 5: Solve for x
    x = 43,090,909,472.25/95,857.13
  6. Step 6: Final answer
    x = 449,532.67

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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.