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Finding the Third Proportional to 68,179,914 and 145,932,326

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Solution

The third proportional to 68,179,914 and 145,932,326 is: 312,353,632.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,179,914 : 145,932,326 = 145,932,326 : x
  2. Step 2: Convert to fraction form
    68,179,914/145,932,326 = 145,932,326/x
  3. Step 3: Cross multiply
    68,179,914x = 145,932,326 × 145,932,326
  4. Step 4: Simplify right side
    68,179,914x = 21,296,243,771,770,276
  5. Step 5: Solve for x
    x = 21,296,243,771,770,276/68,179,914
  6. Step 6: Final answer
    x = 312,353,632.06

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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.