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Finding the Third Proportional to 185,388,697.50 and 252,467,762

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Solution

The third proportional to 185,388,697.50 and 252,467,762 is: 343,817,998.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,388,697.50 : 252,467,762 = 252,467,762 : x
  2. Step 2: Convert to fraction form
    185,388,697.50/252,467,762 = 252,467,762/x
  3. Step 3: Cross multiply
    185,388,697.50x = 252,467,762 × 252,467,762
  4. Step 4: Simplify right side
    185,388,697.50x = 63,739,970,849,288,640
  5. Step 5: Solve for x
    x = 63,739,970,849,288,640/185,388,697.50
  6. Step 6: Final answer
    x = 343,817,998.12

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.