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Finding the Third Proportional to 102,736,848 and 150,419,448

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Solution

The third proportional to 102,736,848 and 150,419,448 is: 220,232,669.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,736,848 : 150,419,448 = 150,419,448 : x
  2. Step 2: Convert to fraction form
    102,736,848/150,419,448 = 150,419,448/x
  3. Step 3: Cross multiply
    102,736,848x = 150,419,448 × 150,419,448
  4. Step 4: Simplify right side
    102,736,848x = 22,626,010,336,624,704
  5. Step 5: Solve for x
    x = 22,626,010,336,624,704/102,736,848
  6. Step 6: Final answer
    x = 220,232,669.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.