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Finding the Third Proportional to 92,362.50 and 199,459.13

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Solution

The third proportional to 92,362.50 and 199,459.13 is: 430,736.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,362.50 : 199,459.13 = 199,459.13 : x
  2. Step 2: Convert to fraction form
    92,362.50/199,459.13 = 199,459.13/x
  3. Step 3: Cross multiply
    92,362.50x = 199,459.13 × 199,459.13
  4. Step 4: Simplify right side
    92,362.50x = 39,783,942,545.77
  5. Step 5: Solve for x
    x = 39,783,942,545.77/92,362.50
  6. Step 6: Final answer
    x = 430,736.96

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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.