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Finding the Third Proportional to 167,204,841.75 and 349,655,382

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Solution

The third proportional to 167,204,841.75 and 349,655,382 is: 731,192,260.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,204,841.75 : 349,655,382 = 349,655,382 : x
  2. Step 2: Convert to fraction form
    167,204,841.75/349,655,382 = 349,655,382/x
  3. Step 3: Cross multiply
    167,204,841.75x = 349,655,382 × 349,655,382
  4. Step 4: Simplify right side
    167,204,841.75x = 122,258,886,161,565,920
  5. Step 5: Solve for x
    x = 122,258,886,161,565,920/167,204,841.75
  6. Step 6: Final answer
    x = 731,192,260.24

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.