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Finding the Third Proportional to 114,749.16 and 189,631.13

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Solution

The third proportional to 114,749.16 and 189,631.13 is: 313,378.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,749.16 : 189,631.13 = 189,631.13 : x
  2. Step 2: Convert to fraction form
    114,749.16/189,631.13 = 189,631.13/x
  3. Step 3: Cross multiply
    114,749.16x = 189,631.13 × 189,631.13
  4. Step 4: Simplify right side
    114,749.16x = 35,959,963,568.77
  5. Step 5: Solve for x
    x = 35,959,963,568.77/114,749.16
  6. Step 6: Final answer
    x = 313,378.89

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.