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Finding the Third Proportional to 238,023,816 and 367,807,152

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Solution

The third proportional to 238,023,816 and 367,807,152 is: 568,355,315.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,023,816 : 367,807,152 = 367,807,152 : x
  2. Step 2: Convert to fraction form
    238,023,816/367,807,152 = 367,807,152/x
  3. Step 3: Cross multiply
    238,023,816x = 367,807,152 × 367,807,152
  4. Step 4: Simplify right side
    238,023,816x = 135,282,101,062,351,104
  5. Step 5: Solve for x
    x = 135,282,101,062,351,104/238,023,816
  6. Step 6: Final answer
    x = 568,355,315.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.