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Finding the Third Proportional to 93,773.32 and 205,333.10

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Solution

The third proportional to 93,773.32 and 205,333.10 is: 449,612.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,773.32 : 205,333.10 = 205,333.10 : x
  2. Step 2: Convert to fraction form
    93,773.32/205,333.10 = 205,333.10/x
  3. Step 3: Cross multiply
    93,773.32x = 205,333.10 × 205,333.10
  4. Step 4: Simplify right side
    93,773.32x = 42,161,682,597.28
  5. Step 5: Solve for x
    x = 42,161,682,597.28/93,773.32
  6. Step 6: Final answer
    x = 449,612.77

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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.