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Finding the Third Proportional to 95,488.88 and 201,433.50

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Solution

The third proportional to 95,488.88 and 201,433.50 is: 424,923.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,488.88 : 201,433.50 = 201,433.50 : x
  2. Step 2: Convert to fraction form
    95,488.88/201,433.50 = 201,433.50/x
  3. Step 3: Cross multiply
    95,488.88x = 201,433.50 × 201,433.50
  4. Step 4: Simplify right side
    95,488.88x = 40,575,454,922.25
  5. Step 5: Solve for x
    x = 40,575,454,922.25/95,488.88
  6. Step 6: Final answer
    x = 424,923.37

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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.