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Finding the Third Proportional to 114,932,032 and 255,373,216

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Solution

The third proportional to 114,932,032 and 255,373,216 is: 567,426,489.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,932,032 : 255,373,216 = 255,373,216 : x
  2. Step 2: Convert to fraction form
    114,932,032/255,373,216 = 255,373,216/x
  3. Step 3: Cross multiply
    114,932,032x = 255,373,216 × 255,373,216
  4. Step 4: Simplify right side
    114,932,032x = 65,215,479,450,182,656
  5. Step 5: Solve for x
    x = 65,215,479,450,182,656/114,932,032
  6. Step 6: Final answer
    x = 567,426,489.51

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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.