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Finding the Third Proportional to 155,461,296 and 232,335,144

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Solution

The third proportional to 155,461,296 and 232,335,144 is: 347,222,238.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,461,296 : 232,335,144 = 232,335,144 : x
  2. Step 2: Convert to fraction form
    155,461,296/232,335,144 = 232,335,144/x
  3. Step 3: Cross multiply
    155,461,296x = 232,335,144 × 232,335,144
  4. Step 4: Simplify right side
    155,461,296x = 53,979,619,137,500,736
  5. Step 5: Solve for x
    x = 53,979,619,137,500,736/155,461,296
  6. Step 6: Final answer
    x = 347,222,238.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.