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Finding the Third Proportional to 93,082.50 and 200,923.88

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Solution

The third proportional to 93,082.50 and 200,923.88 is: 433,705.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,082.50 : 200,923.88 = 200,923.88 : x
  2. Step 2: Convert to fraction form
    93,082.50/200,923.88 = 200,923.88/x
  3. Step 3: Cross multiply
    93,082.50x = 200,923.88 × 200,923.88
  4. Step 4: Simplify right side
    93,082.50x = 40,370,403,545.02
  5. Step 5: Solve for x
    x = 40,370,403,545.02/93,082.50
  6. Step 6: Final answer
    x = 433,705.62

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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.