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Finding the Third Proportional to 86,180,366 and 184,304,668

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Solution

The third proportional to 86,180,366 and 184,304,668 is: 394,152,545.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,180,366 : 184,304,668 = 184,304,668 : x
  2. Step 2: Convert to fraction form
    86,180,366/184,304,668 = 184,304,668/x
  3. Step 3: Cross multiply
    86,180,366x = 184,304,668 × 184,304,668
  4. Step 4: Simplify right side
    86,180,366x = 33,968,210,646,590,224
  5. Step 5: Solve for x
    x = 33,968,210,646,590,224/86,180,366
  6. Step 6: Final answer
    x = 394,152,545.68

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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.