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Finding the Third Proportional to 114,932,034 and 255,373,220

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Solution

The third proportional to 114,932,034 and 255,373,220 is: 567,426,497.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,932,034 : 255,373,220 = 255,373,220 : x
  2. Step 2: Convert to fraction form
    114,932,034/255,373,220 = 255,373,220/x
  3. Step 3: Cross multiply
    114,932,034x = 255,373,220 × 255,373,220
  4. Step 4: Simplify right side
    114,932,034x = 65,215,481,493,168,400
  5. Step 5: Solve for x
    x = 65,215,481,493,168,400/114,932,034
  6. Step 6: Final answer
    x = 567,426,497.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.