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Finding the Third Proportional to 132,159,422.81 and 280,073,332.97

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Solution

The third proportional to 132,159,422.81 and 280,073,332.97 is: 593,533,704.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,159,422.81 : 280,073,332.97 = 280,073,332.97 : x
  2. Step 2: Convert to fraction form
    132,159,422.81/280,073,332.97 = 280,073,332.97/x
  3. Step 3: Cross multiply
    132,159,422.81x = 280,073,332.97 × 280,073,332.97
  4. Step 4: Simplify right side
    132,159,422.81x = 78,441,071,840,224,304
  5. Step 5: Solve for x
    x = 78,441,071,840,224,304/132,159,422.81
  6. Step 6: Final answer
    x = 593,533,704.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.