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Finding the Third Proportional to 212,412,161 and 328,051,502

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Solution

The third proportional to 212,412,161 and 328,051,502 is: 506,646,076.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,412,161 : 328,051,502 = 328,051,502 : x
  2. Step 2: Convert to fraction form
    212,412,161/328,051,502 = 328,051,502/x
  3. Step 3: Cross multiply
    212,412,161x = 328,051,502 × 328,051,502
  4. Step 4: Simplify right side
    212,412,161x = 107,617,787,964,456,000
  5. Step 5: Solve for x
    x = 107,617,787,964,456,000/212,412,161
  6. Step 6: Final answer
    x = 506,646,076.47

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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.