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Finding the Third Proportional to 113,207,764 and 242,560,512

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Solution

The third proportional to 113,207,764 and 242,560,512 is: 519,713,488.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,207,764 : 242,560,512 = 242,560,512 : x
  2. Step 2: Convert to fraction form
    113,207,764/242,560,512 = 242,560,512/x
  3. Step 3: Cross multiply
    113,207,764x = 242,560,512 × 242,560,512
  4. Step 4: Simplify right side
    113,207,764x = 58,835,601,981,702,144
  5. Step 5: Solve for x
    x = 58,835,601,981,702,144/113,207,764
  6. Step 6: Final answer
    x = 519,713,488.75

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.