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Finding the Third Proportional to 212,412,162.75 and 328,051,504.31

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Solution

The third proportional to 212,412,162.75 and 328,051,504.31 is: 506,646,079.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,412,162.75 : 328,051,504.31 = 328,051,504.31 : x
  2. Step 2: Convert to fraction form
    212,412,162.75/328,051,504.31 = 328,051,504.31/x
  3. Step 3: Cross multiply
    212,412,162.75x = 328,051,504.31 × 328,051,504.31
  4. Step 4: Simplify right side
    212,412,162.75x = 107,617,789,481,694,208
  5. Step 5: Solve for x
    x = 107,617,789,481,694,208/212,412,162.75
  6. Step 6: Final answer
    x = 506,646,079.44

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