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Finding the Third Proportional to 93,465.75 and 205,026

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Solution

The third proportional to 93,465.75 and 205,026 is: 449,744.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,465.75 : 205,026 = 205,026 : x
  2. Step 2: Convert to fraction form
    93,465.75/205,026 = 205,026/x
  3. Step 3: Cross multiply
    93,465.75x = 205,026 × 205,026
  4. Step 4: Simplify right side
    93,465.75x = 42,035,660,676
  5. Step 5: Solve for x
    x = 42,035,660,676/93,465.75
  6. Step 6: Final answer
    x = 449,744.00

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.