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Finding the Third Proportional to 167,198,352 and 258,252,600

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Solution

The third proportional to 167,198,352 and 258,252,600 is: 398,893,916.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,198,352 : 258,252,600 = 258,252,600 : x
  2. Step 2: Convert to fraction form
    167,198,352/258,252,600 = 258,252,600/x
  3. Step 3: Cross multiply
    167,198,352x = 258,252,600 × 258,252,600
  4. Step 4: Simplify right side
    167,198,352x = 66,694,405,406,760,000
  5. Step 5: Solve for x
    x = 66,694,405,406,760,000/167,198,352
  6. Step 6: Final answer
    x = 398,893,916.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.