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Finding the Third Proportional to 154,868,544 and 337,048,332

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Solution

The third proportional to 154,868,544 and 337,048,332 is: 733,535,520.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,868,544 : 337,048,332 = 337,048,332 : x
  2. Step 2: Convert to fraction form
    154,868,544/337,048,332 = 337,048,332/x
  3. Step 3: Cross multiply
    154,868,544x = 337,048,332 × 337,048,332
  4. Step 4: Simplify right side
    154,868,544x = 113,601,578,103,982,224
  5. Step 5: Solve for x
    x = 113,601,578,103,982,224/154,868,544
  6. Step 6: Final answer
    x = 733,535,520.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.