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Finding the Third Proportional to 76,675,398 and 165,042,498

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Solution

The third proportional to 76,675,398 and 165,042,498 is: 355,251,186.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,675,398 : 165,042,498 = 165,042,498 : x
  2. Step 2: Convert to fraction form
    76,675,398/165,042,498 = 165,042,498/x
  3. Step 3: Cross multiply
    76,675,398x = 165,042,498 × 165,042,498
  4. Step 4: Simplify right side
    76,675,398x = 27,239,026,146,080,004
  5. Step 5: Solve for x
    x = 27,239,026,146,080,004/76,675,398
  6. Step 6: Final answer
    x = 355,251,186.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.