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Finding the Third Proportional to 93,904.31 and 143,180.16

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Solution

The third proportional to 93,904.31 and 143,180.16 is: 218,313.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,904.31 : 143,180.16 = 143,180.16 : x
  2. Step 2: Convert to fraction form
    93,904.31/143,180.16 = 143,180.16/x
  3. Step 3: Cross multiply
    93,904.31x = 143,180.16 × 143,180.16
  4. Step 4: Simplify right side
    93,904.31x = 20,500,557,143.77
  5. Step 5: Solve for x
    x = 20,500,557,143.77/93,904.31
  6. Step 6: Final answer
    x = 218,313.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.