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Finding the Third Proportional to 49,542,159 and 103,601,566

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Solution

The third proportional to 49,542,159 and 103,601,566 is: 216,649,510.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,542,159 : 103,601,566 = 103,601,566 : x
  2. Step 2: Convert to fraction form
    49,542,159/103,601,566 = 103,601,566/x
  3. Step 3: Cross multiply
    49,542,159x = 103,601,566 × 103,601,566
  4. Step 4: Simplify right side
    49,542,159x = 10,733,284,477,652,356
  5. Step 5: Solve for x
    x = 10,733,284,477,652,356/49,542,159
  6. Step 6: Final answer
    x = 216,649,510.12

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.