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Finding the Third Proportional to 124,591,512 and 193,417,295

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Solution

The third proportional to 124,591,512 and 193,417,295 is: 300,263,231.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,591,512 : 193,417,295 = 193,417,295 : x
  2. Step 2: Convert to fraction form
    124,591,512/193,417,295 = 193,417,295/x
  3. Step 3: Cross multiply
    124,591,512x = 193,417,295 × 193,417,295
  4. Step 4: Simplify right side
    124,591,512x = 37,410,250,005,117,024
  5. Step 5: Solve for x
    x = 37,410,250,005,117,024/124,591,512
  6. Step 6: Final answer
    x = 300,263,231.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.