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Finding the Third Proportional to 93,773.74 and 205,334.58

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Solution

The third proportional to 93,773.74 and 205,334.58 is: 449,617.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,773.74 : 205,334.58 = 205,334.58 : x
  2. Step 2: Convert to fraction form
    93,773.74/205,334.58 = 205,334.58/x
  3. Step 3: Cross multiply
    93,773.74x = 205,334.58 × 205,334.58
  4. Step 4: Simplify right side
    93,773.74x = 42,162,288,973.77
  5. Step 5: Solve for x
    x = 42,162,288,973.77/93,773.74
  6. Step 6: Final answer
    x = 449,617.22

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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.