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Finding the Third Proportional to 141,171,396.75 and 207,450,208.69

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Solution

The third proportional to 141,171,396.75 and 207,450,208.69 is: 304,846,378.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,171,396.75 : 207,450,208.69 = 207,450,208.69 : x
  2. Step 2: Convert to fraction form
    141,171,396.75/207,450,208.69 = 207,450,208.69/x
  3. Step 3: Cross multiply
    141,171,396.75x = 207,450,208.69 × 207,450,208.69
  4. Step 4: Simplify right side
    141,171,396.75x = 43,035,589,084,487,304
  5. Step 5: Solve for x
    x = 43,035,589,084,487,304/141,171,396.75
  6. Step 6: Final answer
    x = 304,846,378.77

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.