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Finding the Third Proportional to 68,033,346 and 105,057,642

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Solution

The third proportional to 68,033,346 and 105,057,642 is: 162,230,858.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,033,346 : 105,057,642 = 105,057,642 : x
  2. Step 2: Convert to fraction form
    68,033,346/105,057,642 = 105,057,642/x
  3. Step 3: Cross multiply
    68,033,346x = 105,057,642 × 105,057,642
  4. Step 4: Simplify right side
    68,033,346x = 11,037,108,142,600,164
  5. Step 5: Solve for x
    x = 11,037,108,142,600,164/68,033,346
  6. Step 6: Final answer
    x = 162,230,858.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.