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Finding the Third Proportional to 111,277,024 and 239,008,052

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Solution

The third proportional to 111,277,024 and 239,008,052 is: 513,357,087.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,277,024 : 239,008,052 = 239,008,052 : x
  2. Step 2: Convert to fraction form
    111,277,024/239,008,052 = 239,008,052/x
  3. Step 3: Cross multiply
    111,277,024x = 239,008,052 × 239,008,052
  4. Step 4: Simplify right side
    111,277,024x = 57,124,848,920,834,704
  5. Step 5: Solve for x
    x = 57,124,848,920,834,704/111,277,024
  6. Step 6: Final answer
    x = 513,357,087.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.