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Finding the Third Proportional to 86,647,842 and 190,302,768

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Solution

The third proportional to 86,647,842 and 190,302,768 is: 417,957,824.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,647,842 : 190,302,768 = 190,302,768 : x
  2. Step 2: Convert to fraction form
    86,647,842/190,302,768 = 190,302,768/x
  3. Step 3: Cross multiply
    86,647,842x = 190,302,768 × 190,302,768
  4. Step 4: Simplify right side
    86,647,842x = 36,215,143,508,461,824
  5. Step 5: Solve for x
    x = 36,215,143,508,461,824/86,647,842
  6. Step 6: Final answer
    x = 417,957,824.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.