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Finding the Third Proportional to 101,366.44 and 146,015.16

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Solution

The third proportional to 101,366.44 and 146,015.16 is: 210,330.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,366.44 : 146,015.16 = 146,015.16 : x
  2. Step 2: Convert to fraction form
    101,366.44/146,015.16 = 146,015.16/x
  3. Step 3: Cross multiply
    101,366.44x = 146,015.16 × 146,015.16
  4. Step 4: Simplify right side
    101,366.44x = 21,320,425,854.71
  5. Step 5: Solve for x
    x = 21,320,425,854.71/101,366.44
  6. Step 6: Final answer
    x = 210,330.23

Related Problems

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.