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Finding the Third Proportional to 49,542,143 and 103,601,534

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Solution

The third proportional to 49,542,143 and 103,601,534 is: 216,649,446.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,542,143 : 103,601,534 = 103,601,534 : x
  2. Step 2: Convert to fraction form
    49,542,143/103,601,534 = 103,601,534/x
  3. Step 3: Cross multiply
    49,542,143x = 103,601,534 × 103,601,534
  4. Step 4: Simplify right side
    49,542,143x = 10,733,277,847,153,156
  5. Step 5: Solve for x
    x = 10,733,277,847,153,156/49,542,143
  6. Step 6: Final answer
    x = 216,649,446.25

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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.