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Finding the Third Proportional to 93,390.75 and 206,406.56

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Solution

The third proportional to 93,390.75 and 206,406.56 is: 456,187.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,390.75 : 206,406.56 = 206,406.56 : x
  2. Step 2: Convert to fraction form
    93,390.75/206,406.56 = 206,406.56/x
  3. Step 3: Cross multiply
    93,390.75x = 206,406.56 × 206,406.56
  4. Step 4: Simplify right side
    93,390.75x = 42,603,669,043.07
  5. Step 5: Solve for x
    x = 42,603,669,043.07/93,390.75
  6. Step 6: Final answer
    x = 456,187.25

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.