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Finding the Third Proportional to 90,203.63 and 195,774.47

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Solution

The third proportional to 90,203.63 and 195,774.47 is: 424,901.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,203.63 : 195,774.47 = 195,774.47 : x
  2. Step 2: Convert to fraction form
    90,203.63/195,774.47 = 195,774.47/x
  3. Step 3: Cross multiply
    90,203.63x = 195,774.47 × 195,774.47
  4. Step 4: Simplify right side
    90,203.63x = 38,327,642,614.34
  5. Step 5: Solve for x
    x = 38,327,642,614.34/90,203.63
  6. Step 6: Final answer
    x = 424,901.36

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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.