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Finding the Third Proportional to 83,054,930 and 181,748,611

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Solution

The third proportional to 83,054,930 and 181,748,611 is: 397,719,408.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,054,930 : 181,748,611 = 181,748,611 : x
  2. Step 2: Convert to fraction form
    83,054,930/181,748,611 = 181,748,611/x
  3. Step 3: Cross multiply
    83,054,930x = 181,748,611 × 181,748,611
  4. Step 4: Simplify right side
    83,054,930x = 33,032,557,600,429,320
  5. Step 5: Solve for x
    x = 33,032,557,600,429,320/83,054,930
  6. Step 6: Final answer
    x = 397,719,408.11

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.