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Finding the Third Proportional to 109,071,822 and 233,260,188

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Solution

The third proportional to 109,071,822 and 233,260,188 is: 498,848,504.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,071,822 : 233,260,188 = 233,260,188 : x
  2. Step 2: Convert to fraction form
    109,071,822/233,260,188 = 233,260,188/x
  3. Step 3: Cross multiply
    109,071,822x = 233,260,188 × 233,260,188
  4. Step 4: Simplify right side
    109,071,822x = 54,410,315,305,795,344
  5. Step 5: Solve for x
    x = 54,410,315,305,795,344/109,071,822
  6. Step 6: Final answer
    x = 498,848,504.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.