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Finding the Third Proportional to 97,278.25 and 150,232.88

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Solution

The third proportional to 97,278.25 and 150,232.88 is: 232,014.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,278.25 : 150,232.88 = 150,232.88 : x
  2. Step 2: Convert to fraction form
    97,278.25/150,232.88 = 150,232.88/x
  3. Step 3: Cross multiply
    97,278.25x = 150,232.88 × 150,232.88
  4. Step 4: Simplify right side
    97,278.25x = 22,569,916,730.77
  5. Step 5: Solve for x
    x = 22,569,916,730.77/97,278.25
  6. Step 6: Final answer
    x = 232,014.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.