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Finding the Third Proportional to 129,197,011.50 and 283,504,576.50

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Solution

The third proportional to 129,197,011.50 and 283,504,576.50 is: 622,110,712.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,197,011.50 : 283,504,576.50 = 283,504,576.50 : x
  2. Step 2: Convert to fraction form
    129,197,011.50/283,504,576.50 = 283,504,576.50/x
  3. Step 3: Cross multiply
    129,197,011.50x = 283,504,576.50 × 283,504,576.50
  4. Step 4: Simplify right side
    129,197,011.50x = 80,374,844,896,444,352
  5. Step 5: Solve for x
    x = 80,374,844,896,444,352/129,197,011.50
  6. Step 6: Final answer
    x = 622,110,712.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.