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Finding the Third Proportional to 147,665,790 and 321,902,172

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Solution

The third proportional to 147,665,790 and 321,902,172 is: 701,726,570.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,665,790 : 321,902,172 = 321,902,172 : x
  2. Step 2: Convert to fraction form
    147,665,790/321,902,172 = 321,902,172/x
  3. Step 3: Cross multiply
    147,665,790x = 321,902,172 × 321,902,172
  4. Step 4: Simplify right side
    147,665,790x = 103,621,008,338,317,584
  5. Step 5: Solve for x
    x = 103,621,008,338,317,584/147,665,790
  6. Step 6: Final answer
    x = 701,726,570.10

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.