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Finding the Third Proportional to 120,157,366.50 and 246,684,643.50

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Solution

The third proportional to 120,157,366.50 and 246,684,643.50 is: 506,446,796.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,157,366.50 : 246,684,643.50 = 246,684,643.50 : x
  2. Step 2: Convert to fraction form
    120,157,366.50/246,684,643.50 = 246,684,643.50/x
  3. Step 3: Cross multiply
    120,157,366.50x = 246,684,643.50 × 246,684,643.50
  4. Step 4: Simplify right side
    120,157,366.50x = 60,853,313,338,722,096
  5. Step 5: Solve for x
    x = 60,853,313,338,722,096/120,157,366.50
  6. Step 6: Final answer
    x = 506,446,796.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.