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Finding the Third Proportional to 70,831.13 and 154,123.88

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Solution

The third proportional to 70,831.13 and 154,123.88 is: 335,363.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,831.13 : 154,123.88 = 154,123.88 : x
  2. Step 2: Convert to fraction form
    70,831.13/154,123.88 = 154,123.88/x
  3. Step 3: Cross multiply
    70,831.13x = 154,123.88 × 154,123.88
  4. Step 4: Simplify right side
    70,831.13x = 23,754,168,845.02
  5. Step 5: Solve for x
    x = 23,754,168,845.02/70,831.13
  6. Step 6: Final answer
    x = 335,363.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.