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Finding the Third Proportional to 211,397,077.50 and 323,413,858.50

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Solution

The third proportional to 211,397,077.50 and 323,413,858.50 is: 494,786,990.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,397,077.50 : 323,413,858.50 = 323,413,858.50 : x
  2. Step 2: Convert to fraction form
    211,397,077.50/323,413,858.50 = 323,413,858.50/x
  3. Step 3: Cross multiply
    211,397,077.50x = 323,413,858.50 × 323,413,858.50
  4. Step 4: Simplify right side
    211,397,077.50x = 104,596,523,869,858,016
  5. Step 5: Solve for x
    x = 104,596,523,869,858,016/211,397,077.50
  6. Step 6: Final answer
    x = 494,786,990.94

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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.