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Finding the Third Proportional to 95,820.38 and 201,570.75

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Solution

The third proportional to 95,820.38 and 201,570.75 is: 424,030.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,820.38 : 201,570.75 = 201,570.75 : x
  2. Step 2: Convert to fraction form
    95,820.38/201,570.75 = 201,570.75/x
  3. Step 3: Cross multiply
    95,820.38x = 201,570.75 × 201,570.75
  4. Step 4: Simplify right side
    95,820.38x = 40,630,767,255.56
  5. Step 5: Solve for x
    x = 40,630,767,255.56/95,820.38
  6. Step 6: Final answer
    x = 424,030.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.