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Finding the Third Proportional to 212,412,384.50 and 328,051,837

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Solution

The third proportional to 212,412,384.50 and 328,051,837 is: 506,646,578.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,412,384.50 : 328,051,837 = 328,051,837 : x
  2. Step 2: Convert to fraction form
    212,412,384.50/328,051,837 = 328,051,837/x
  3. Step 3: Cross multiply
    212,412,384.50x = 328,051,837 × 328,051,837
  4. Step 4: Simplify right side
    212,412,384.50x = 107,618,007,759,074,576
  5. Step 5: Solve for x
    x = 107,618,007,759,074,576/212,412,384.50
  6. Step 6: Final answer
    x = 506,646,578.13

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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.