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Finding the Third Proportional to 49,903,452 and 109,213,731

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Solution

The third proportional to 49,903,452 and 109,213,731 is: 239,014,307.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,903,452 : 109,213,731 = 109,213,731 : x
  2. Step 2: Convert to fraction form
    49,903,452/109,213,731 = 109,213,731/x
  3. Step 3: Cross multiply
    49,903,452x = 109,213,731 × 109,213,731
  4. Step 4: Simplify right side
    49,903,452x = 11,927,639,038,940,360
  5. Step 5: Solve for x
    x = 11,927,639,038,940,360/49,903,452
  6. Step 6: Final answer
    x = 239,014,307.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.