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Finding the Third Proportional to 93,275.06 and 199,857.94

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Solution

The third proportional to 93,275.06 and 199,857.94 is: 428,230.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,275.06 : 199,857.94 = 199,857.94 : x
  2. Step 2: Convert to fraction form
    93,275.06/199,857.94 = 199,857.94/x
  3. Step 3: Cross multiply
    93,275.06x = 199,857.94 × 199,857.94
  4. Step 4: Simplify right side
    93,275.06x = 39,943,195,181.75
  5. Step 5: Solve for x
    x = 39,943,195,181.75/93,275.06
  6. Step 6: Final answer
    x = 428,230.16

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.