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Finding the Third Proportional to 154,315,384 and 238,729,380

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Solution

The third proportional to 154,315,384 and 238,729,380 is: 369,319,735.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,315,384 : 238,729,380 = 238,729,380 : x
  2. Step 2: Convert to fraction form
    154,315,384/238,729,380 = 238,729,380/x
  3. Step 3: Cross multiply
    154,315,384x = 238,729,380 × 238,729,380
  4. Step 4: Simplify right side
    154,315,384x = 56,991,716,875,184,400
  5. Step 5: Solve for x
    x = 56,991,716,875,184,400/154,315,384
  6. Step 6: Final answer
    x = 369,319,735.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.