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Finding the Third Proportional to 146,436,787 and 321,007,142

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Solution

The third proportional to 146,436,787 and 321,007,142 is: 703,686,466.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,436,787 : 321,007,142 = 321,007,142 : x
  2. Step 2: Convert to fraction form
    146,436,787/321,007,142 = 321,007,142/x
  3. Step 3: Cross multiply
    146,436,787x = 321,007,142 × 321,007,142
  4. Step 4: Simplify right side
    146,436,787x = 103,045,585,215,008,160
  5. Step 5: Solve for x
    x = 103,045,585,215,008,160/146,436,787
  6. Step 6: Final answer
    x = 703,686,466.54

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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.