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Finding the Third Proportional to 68,033,376 and 105,057,602

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Solution

The third proportional to 68,033,376 and 105,057,602 is: 162,230,663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,033,376 : 105,057,602 = 105,057,602 : x
  2. Step 2: Convert to fraction form
    68,033,376/105,057,602 = 105,057,602/x
  3. Step 3: Cross multiply
    68,033,376x = 105,057,602 × 105,057,602
  4. Step 4: Simplify right side
    68,033,376x = 11,037,099,737,990,404
  5. Step 5: Solve for x
    x = 11,037,099,737,990,404/68,033,376
  6. Step 6: Final answer
    x = 162,230,663.64

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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.