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Finding the Third Proportional to 125,845,922 and 296,653,832

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Solution

The third proportional to 125,845,922 and 296,653,832 is: 699,295,572.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,845,922 : 296,653,832 = 296,653,832 : x
  2. Step 2: Convert to fraction form
    125,845,922/296,653,832 = 296,653,832/x
  3. Step 3: Cross multiply
    125,845,922x = 296,653,832 × 296,653,832
  4. Step 4: Simplify right side
    125,845,922x = 88,003,496,040,284,224
  5. Step 5: Solve for x
    x = 88,003,496,040,284,224/125,845,922
  6. Step 6: Final answer
    x = 699,295,572.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.