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Finding the Third Proportional to 105,724,066 and 148,885,027

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Solution

The third proportional to 105,724,066 and 148,885,027 is: 209,666,087.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,724,066 : 148,885,027 = 148,885,027 : x
  2. Step 2: Convert to fraction form
    105,724,066/148,885,027 = 148,885,027/x
  3. Step 3: Cross multiply
    105,724,066x = 148,885,027 × 148,885,027
  4. Step 4: Simplify right side
    105,724,066x = 22,166,751,264,790,728
  5. Step 5: Solve for x
    x = 22,166,751,264,790,728/105,724,066
  6. Step 6: Final answer
    x = 209,666,087.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.