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Finding the Third Proportional to 68,224,896 and 111,393,306

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Solution

The third proportional to 68,224,896 and 111,393,306 is: 181,875,962.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,224,896 : 111,393,306 = 111,393,306 : x
  2. Step 2: Convert to fraction form
    68,224,896/111,393,306 = 111,393,306/x
  3. Step 3: Cross multiply
    68,224,896x = 111,393,306 × 111,393,306
  4. Step 4: Simplify right side
    68,224,896x = 12,408,468,621,609,636
  5. Step 5: Solve for x
    x = 12,408,468,621,609,636/68,224,896
  6. Step 6: Final answer
    x = 181,875,962.43

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.