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Finding the Third Proportional to 121,438,991 and 177,603,977

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Solution

The third proportional to 121,438,991 and 177,603,977 is: 259,745,015.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,438,991 : 177,603,977 = 177,603,977 : x
  2. Step 2: Convert to fraction form
    121,438,991/177,603,977 = 177,603,977/x
  3. Step 3: Cross multiply
    121,438,991x = 177,603,977 × 177,603,977
  4. Step 4: Simplify right side
    121,438,991x = 31,543,172,646,216,528
  5. Step 5: Solve for x
    x = 31,543,172,646,216,528/121,438,991
  6. Step 6: Final answer
    x = 259,745,015.88

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.