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Finding the Third Proportional to 85,572.28 and 190,820.81

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Solution

The third proportional to 85,572.28 and 190,820.81 is: 425,518.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,572.28 : 190,820.81 = 190,820.81 : x
  2. Step 2: Convert to fraction form
    85,572.28/190,820.81 = 190,820.81/x
  3. Step 3: Cross multiply
    85,572.28x = 190,820.81 × 190,820.81
  4. Step 4: Simplify right side
    85,572.28x = 36,412,582,483.16
  5. Step 5: Solve for x
    x = 36,412,582,483.16/85,572.28
  6. Step 6: Final answer
    x = 425,518.43

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.