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Finding the Third Proportional to 95,265.75 and 201,223.50

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Solution

The third proportional to 95,265.75 and 201,223.50 is: 425,031.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,265.75 : 201,223.50 = 201,223.50 : x
  2. Step 2: Convert to fraction form
    95,265.75/201,223.50 = 201,223.50/x
  3. Step 3: Cross multiply
    95,265.75x = 201,223.50 × 201,223.50
  4. Step 4: Simplify right side
    95,265.75x = 40,490,896,952.25
  5. Step 5: Solve for x
    x = 40,490,896,952.25/95,265.75
  6. Step 6: Final answer
    x = 425,031.00

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.