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Finding the Third Proportional to 70,383.38 and 151,838.46

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Solution

The third proportional to 70,383.38 and 151,838.46 is: 327,561.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,383.38 : 151,838.46 = 151,838.46 : x
  2. Step 2: Convert to fraction form
    70,383.38/151,838.46 = 151,838.46/x
  3. Step 3: Cross multiply
    70,383.38x = 151,838.46 × 151,838.46
  4. Step 4: Simplify right side
    70,383.38x = 23,054,916,440.51
  5. Step 5: Solve for x
    x = 23,054,916,440.51/70,383.38
  6. Step 6: Final answer
    x = 327,561.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.