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Finding the Third Proportional to 85,500,148 and 179,398,376

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Solution

The third proportional to 85,500,148 and 179,398,376 is: 376,417,796.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,500,148 : 179,398,376 = 179,398,376 : x
  2. Step 2: Convert to fraction form
    85,500,148/179,398,376 = 179,398,376/x
  3. Step 3: Cross multiply
    85,500,148x = 179,398,376 × 179,398,376
  4. Step 4: Simplify right side
    85,500,148x = 32,183,777,311,437,376
  5. Step 5: Solve for x
    x = 32,183,777,311,437,376/85,500,148
  6. Step 6: Final answer
    x = 376,417,796.51

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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.