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Finding the Third Proportional to 85,500,150 and 179,398,380

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Solution

The third proportional to 85,500,150 and 179,398,380 is: 376,417,804.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,500,150 : 179,398,380 = 179,398,380 : x
  2. Step 2: Convert to fraction form
    85,500,150/179,398,380 = 179,398,380/x
  3. Step 3: Cross multiply
    85,500,150x = 179,398,380 × 179,398,380
  4. Step 4: Simplify right side
    85,500,150x = 32,183,778,746,624,400
  5. Step 5: Solve for x
    x = 32,183,778,746,624,400/85,500,150
  6. Step 6: Final answer
    x = 376,417,804.49

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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.