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Finding the Third Proportional to 150,467,494.50 and 211,891,389.50

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Solution

The third proportional to 150,467,494.50 and 211,891,389.50 is: 298,389,769.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,467,494.50 : 211,891,389.50 = 211,891,389.50 : x
  2. Step 2: Convert to fraction form
    150,467,494.50/211,891,389.50 = 211,891,389.50/x
  3. Step 3: Cross multiply
    150,467,494.50x = 211,891,389.50 × 211,891,389.50
  4. Step 4: Simplify right side
    150,467,494.50x = 44,897,960,944,240,712
  5. Step 5: Solve for x
    x = 44,897,960,944,240,712/150,467,494.50
  6. Step 6: Final answer
    x = 298,389,769.12

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.