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Finding the Third Proportional to 222,791,509.50 and 340,590,800.25

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Solution

The third proportional to 222,791,509.50 and 340,590,800.25 is: 520,675,556.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,791,509.50 : 340,590,800.25 = 340,590,800.25 : x
  2. Step 2: Convert to fraction form
    222,791,509.50/340,590,800.25 = 340,590,800.25/x
  3. Step 3: Cross multiply
    222,791,509.50x = 340,590,800.25 × 340,590,800.25
  4. Step 4: Simplify right side
    222,791,509.50x = 116,002,093,214,935,408
  5. Step 5: Solve for x
    x = 116,002,093,214,935,408/222,791,509.50
  6. Step 6: Final answer
    x = 520,675,556.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.