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Finding the Third Proportional to 85,500,144 and 179,398,368

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Solution

The third proportional to 85,500,144 and 179,398,368 is: 376,417,780.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,500,144 : 179,398,368 = 179,398,368 : x
  2. Step 2: Convert to fraction form
    85,500,144/179,398,368 = 179,398,368/x
  3. Step 3: Cross multiply
    85,500,144x = 179,398,368 × 179,398,368
  4. Step 4: Simplify right side
    85,500,144x = 32,183,774,441,063,424
  5. Step 5: Solve for x
    x = 32,183,774,441,063,424/85,500,144
  6. Step 6: Final answer
    x = 376,417,780.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.