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Finding the Third Proportional to 212,412,888 and 328,052,592

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Solution

The third proportional to 212,412,888 and 328,052,592 is: 506,647,709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,412,888 : 328,052,592 = 328,052,592 : x
  2. Step 2: Convert to fraction form
    212,412,888/328,052,592 = 328,052,592/x
  3. Step 3: Cross multiply
    212,412,888x = 328,052,592 × 328,052,592
  4. Step 4: Simplify right side
    212,412,888x = 107,618,503,117,918,464
  5. Step 5: Solve for x
    x = 107,618,503,117,918,464/212,412,888
  6. Step 6: Final answer
    x = 506,647,709.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.