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Finding the Third Proportional to 86,440,698 and 188,678,234.25

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Solution

The third proportional to 86,440,698 and 188,678,234.25 is: 411,836,980.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,440,698 : 188,678,234.25 = 188,678,234.25 : x
  2. Step 2: Convert to fraction form
    86,440,698/188,678,234.25 = 188,678,234.25/x
  3. Step 3: Cross multiply
    86,440,698x = 188,678,234.25 × 188,678,234.25
  4. Step 4: Simplify right side
    86,440,698x = 35,599,476,079,697,872
  5. Step 5: Solve for x
    x = 35,599,476,079,697,872/86,440,698
  6. Step 6: Final answer
    x = 411,836,980.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.