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Finding the Third Proportional to 82,931,289 and 122,765,067

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Solution

The third proportional to 82,931,289 and 122,765,067 is: 181,731,911.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,931,289 : 122,765,067 = 122,765,067 : x
  2. Step 2: Convert to fraction form
    82,931,289/122,765,067 = 122,765,067/x
  3. Step 3: Cross multiply
    82,931,289x = 122,765,067 × 122,765,067
  4. Step 4: Simplify right side
    82,931,289x = 15,071,261,675,514,488
  5. Step 5: Solve for x
    x = 15,071,261,675,514,488/82,931,289
  6. Step 6: Final answer
    x = 181,731,911.53

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.