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Finding the Third Proportional to 148,925,119 and 324,665,138

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Solution

The third proportional to 148,925,119 and 324,665,138 is: 707,788,266.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,925,119 : 324,665,138 = 324,665,138 : x
  2. Step 2: Convert to fraction form
    148,925,119/324,665,138 = 324,665,138/x
  3. Step 3: Cross multiply
    148,925,119x = 324,665,138 × 324,665,138
  4. Step 4: Simplify right side
    148,925,119x = 105,407,451,832,559,040
  5. Step 5: Solve for x
    x = 105,407,451,832,559,040/148,925,119
  6. Step 6: Final answer
    x = 707,788,266.62

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Why These Related Problems?

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