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Finding the Third Proportional to 103,152,964.50 and 154,320,981.75

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Solution

The third proportional to 103,152,964.50 and 154,320,981.75 is: 230,870,392.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,152,964.50 : 154,320,981.75 = 154,320,981.75 : x
  2. Step 2: Convert to fraction form
    103,152,964.50/154,320,981.75 = 154,320,981.75/x
  3. Step 3: Cross multiply
    103,152,964.50x = 154,320,981.75 × 154,320,981.75
  4. Step 4: Simplify right side
    103,152,964.50x = 23,814,965,408,283,832
  5. Step 5: Solve for x
    x = 23,814,965,408,283,832/103,152,964.50
  6. Step 6: Final answer
    x = 230,870,392.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.