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Finding the Third Proportional to 237,514,170 and 367,764,189

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Solution

The third proportional to 237,514,170 and 367,764,189 is: 569,441,809.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,514,170 : 367,764,189 = 367,764,189 : x
  2. Step 2: Convert to fraction form
    237,514,170/367,764,189 = 367,764,189/x
  3. Step 3: Cross multiply
    237,514,170x = 367,764,189 × 367,764,189
  4. Step 4: Simplify right side
    237,514,170x = 135,250,498,710,827,728
  5. Step 5: Solve for x
    x = 135,250,498,710,827,728/237,514,170
  6. Step 6: Final answer
    x = 569,441,809.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.