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Finding the Third Proportional to 50,209,240,064 and 109,244,019,732

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Solution

The third proportional to 50,209,240,064 and 109,244,019,732 is: 237,690,429,729.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,209,240,064 : 109,244,019,732 = 109,244,019,732 : x
  2. Step 2: Convert to fraction form
    50,209,240,064/109,244,019,732 = 109,244,019,732/x
  3. Step 3: Cross multiply
    50,209,240,064x = 109,244,019,732 × 109,244,019,732
  4. Step 4: Simplify right side
    50,209,240,064x = 11,934,255,847,205,605,736,448
  5. Step 5: Solve for x
    x = 11,934,255,847,205,605,736,448/50,209,240,064
  6. Step 6: Final answer
    x = 237,690,429,729.54

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