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Finding the Third Proportional to 211,244,071.50 and 323,139,235.50

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Solution

The third proportional to 211,244,071.50 and 323,139,235.50 is: 494,304,833.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,244,071.50 : 323,139,235.50 = 323,139,235.50 : x
  2. Step 2: Convert to fraction form
    211,244,071.50/323,139,235.50 = 323,139,235.50/x
  3. Step 3: Cross multiply
    211,244,071.50x = 323,139,235.50 × 323,139,235.50
  4. Step 4: Simplify right side
    211,244,071.50x = 104,418,965,519,524,464
  5. Step 5: Solve for x
    x = 104,418,965,519,524,464/211,244,071.50
  6. Step 6: Final answer
    x = 494,304,833.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.