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Finding the Third Proportional to 48,711,891 and 107,066,022

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Solution

The third proportional to 48,711,891 and 107,066,022 is: 235,325,150.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,711,891 : 107,066,022 = 107,066,022 : x
  2. Step 2: Convert to fraction form
    48,711,891/107,066,022 = 107,066,022/x
  3. Step 3: Cross multiply
    48,711,891x = 107,066,022 × 107,066,022
  4. Step 4: Simplify right side
    48,711,891x = 11,463,133,066,904,484
  5. Step 5: Solve for x
    x = 11,463,133,066,904,484/48,711,891
  6. Step 6: Final answer
    x = 235,325,150.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.