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Finding the Third Proportional to 68,078,168 and 101,876,664

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Solution

The third proportional to 68,078,168 and 101,876,664 is: 152,454,964.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,078,168 : 101,876,664 = 101,876,664 : x
  2. Step 2: Convert to fraction form
    68,078,168/101,876,664 = 101,876,664/x
  3. Step 3: Cross multiply
    68,078,168x = 101,876,664 × 101,876,664
  4. Step 4: Simplify right side
    68,078,168x = 10,378,854,667,768,896
  5. Step 5: Solve for x
    x = 10,378,854,667,768,896/68,078,168
  6. Step 6: Final answer
    x = 152,454,964.24

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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.