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Finding the Third Proportional to 175,111,435 and 268,601,578.50

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Solution

The third proportional to 175,111,435 and 268,601,578.50 is: 412,005,121.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,111,435 : 268,601,578.50 = 268,601,578.50 : x
  2. Step 2: Convert to fraction form
    175,111,435/268,601,578.50 = 268,601,578.50/x
  3. Step 3: Cross multiply
    175,111,435x = 268,601,578.50 × 268,601,578.50
  4. Step 4: Simplify right side
    175,111,435x = 72,146,807,972,691,664
  5. Step 5: Solve for x
    x = 72,146,807,972,691,664/175,111,435
  6. Step 6: Final answer
    x = 412,005,121.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.