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Finding the Third Proportional to 93,581.50 and 202,927.50

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Solution

The third proportional to 93,581.50 and 202,927.50 is: 440,039.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,581.50 : 202,927.50 = 202,927.50 : x
  2. Step 2: Convert to fraction form
    93,581.50/202,927.50 = 202,927.50/x
  3. Step 3: Cross multiply
    93,581.50x = 202,927.50 × 202,927.50
  4. Step 4: Simplify right side
    93,581.50x = 41,179,570,256.25
  5. Step 5: Solve for x
    x = 41,179,570,256.25/93,581.50
  6. Step 6: Final answer
    x = 440,039.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.