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Finding the Third Proportional to 91,166.50 and 196,913

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Solution

The third proportional to 91,166.50 and 196,913 is: 425,317.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,166.50 : 196,913 = 196,913 : x
  2. Step 2: Convert to fraction form
    91,166.50/196,913 = 196,913/x
  3. Step 3: Cross multiply
    91,166.50x = 196,913 × 196,913
  4. Step 4: Simplify right side
    91,166.50x = 38,774,729,569
  5. Step 5: Solve for x
    x = 38,774,729,569/91,166.50
  6. Step 6: Final answer
    x = 425,317.74

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.