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Finding the Third Proportional to 50,209,240,076 and 109,244,019,756

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Solution

The third proportional to 50,209,240,076 and 109,244,019,756 is: 237,690,429,777.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,209,240,076 : 109,244,019,756 = 109,244,019,756 : x
  2. Step 2: Convert to fraction form
    50,209,240,076/109,244,019,756 = 109,244,019,756/x
  3. Step 3: Cross multiply
    50,209,240,076x = 109,244,019,756 × 109,244,019,756
  4. Step 4: Simplify right side
    50,209,240,076x = 11,934,255,852,449,318,305,792
  5. Step 5: Solve for x
    x = 11,934,255,852,449,318,305,792/50,209,240,076
  6. Step 6: Final answer
    x = 237,690,429,777.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.