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Finding the Third Proportional to 93,801.38 and 147,384.56

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Solution

The third proportional to 93,801.38 and 147,384.56 is: 231,576.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,801.38 : 147,384.56 = 147,384.56 : x
  2. Step 2: Convert to fraction form
    93,801.38/147,384.56 = 147,384.56/x
  3. Step 3: Cross multiply
    93,801.38x = 147,384.56 × 147,384.56
  4. Step 4: Simplify right side
    93,801.38x = 21,722,209,263.32
  5. Step 5: Solve for x
    x = 21,722,209,263.32/93,801.38
  6. Step 6: Final answer
    x = 231,576.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.