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Finding the Third Proportional to 148,691,913.75 and 322,096,244.06

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Solution

The third proportional to 148,691,913.75 and 322,096,244.06 is: 697,724,495.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,691,913.75 : 322,096,244.06 = 322,096,244.06 : x
  2. Step 2: Convert to fraction form
    148,691,913.75/322,096,244.06 = 322,096,244.06/x
  3. Step 3: Cross multiply
    148,691,913.75x = 322,096,244.06 × 322,096,244.06
  4. Step 4: Simplify right side
    148,691,913.75x = 103,745,990,439,169,568
  5. Step 5: Solve for x
    x = 103,745,990,439,169,568/148,691,913.75
  6. Step 6: Final answer
    x = 697,724,495.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.