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Finding the Third Proportional to 44,143,071 and 103,105,324.50

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Solution

The third proportional to 44,143,071 and 103,105,324.50 is: 240,823,932.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,143,071 : 103,105,324.50 = 103,105,324.50 : x
  2. Step 2: Convert to fraction form
    44,143,071/103,105,324.50 = 103,105,324.50/x
  3. Step 3: Cross multiply
    44,143,071x = 103,105,324.50 × 103,105,324.50
  4. Step 4: Simplify right side
    44,143,071x = 10,630,707,940,250,300
  5. Step 5: Solve for x
    x = 10,630,707,940,250,300/44,143,071
  6. Step 6: Final answer
    x = 240,823,932.26

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.