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Finding the Third Proportional to 92,284.50 and 197,365.50

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Solution

The third proportional to 92,284.50 and 197,365.50 is: 422,098.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,284.50 : 197,365.50 = 197,365.50 : x
  2. Step 2: Convert to fraction form
    92,284.50/197,365.50 = 197,365.50/x
  3. Step 3: Cross multiply
    92,284.50x = 197,365.50 × 197,365.50
  4. Step 4: Simplify right side
    92,284.50x = 38,953,140,590.25
  5. Step 5: Solve for x
    x = 38,953,140,590.25/92,284.50
  6. Step 6: Final answer
    x = 422,098.41

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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.