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Finding the Third Proportional to 92,283.47 and 197,363.25

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Solution

The third proportional to 92,283.47 and 197,363.25 is: 422,093.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,283.47 : 197,363.25 = 197,363.25 : x
  2. Step 2: Convert to fraction form
    92,283.47/197,363.25 = 197,363.25/x
  3. Step 3: Cross multiply
    92,283.47x = 197,363.25 × 197,363.25
  4. Step 4: Simplify right side
    92,283.47x = 38,952,252,450.56
  5. Step 5: Solve for x
    x = 38,952,252,450.56/92,283.47
  6. Step 6: Final answer
    x = 422,093.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.