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Finding the Third Proportional to 114,932,044.13 and 255,373,215.75

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Solution

The third proportional to 114,932,044.13 and 255,373,215.75 is: 567,426,428.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,932,044.13 : 255,373,215.75 = 255,373,215.75 : x
  2. Step 2: Convert to fraction form
    114,932,044.13/255,373,215.75 = 255,373,215.75/x
  3. Step 3: Cross multiply
    114,932,044.13x = 255,373,215.75 × 255,373,215.75
  4. Step 4: Simplify right side
    114,932,044.13x = 65,215,479,322,496,048
  5. Step 5: Solve for x
    x = 65,215,479,322,496,048/114,932,044.13
  6. Step 6: Final answer
    x = 567,426,428.54

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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.