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Finding the Third Proportional to 84,505,742 and 185,151,538

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Solution

The third proportional to 84,505,742 and 185,151,538 is: 405,665,830.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,505,742 : 185,151,538 = 185,151,538 : x
  2. Step 2: Convert to fraction form
    84,505,742/185,151,538 = 185,151,538/x
  3. Step 3: Cross multiply
    84,505,742x = 185,151,538 × 185,151,538
  4. Step 4: Simplify right side
    84,505,742x = 34,281,092,023,765,444
  5. Step 5: Solve for x
    x = 34,281,092,023,765,444/84,505,742
  6. Step 6: Final answer
    x = 405,665,830.66

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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.