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Finding the Third Proportional to 210,560,442 and 327,323,170

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Solution

The third proportional to 210,560,442 and 327,323,170 is: 508,834,691.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,560,442 : 327,323,170 = 327,323,170 : x
  2. Step 2: Convert to fraction form
    210,560,442/327,323,170 = 327,323,170/x
  3. Step 3: Cross multiply
    210,560,442x = 327,323,170 × 327,323,170
  4. Step 4: Simplify right side
    210,560,442x = 107,140,457,618,848,896
  5. Step 5: Solve for x
    x = 107,140,457,618,848,896/210,560,442
  6. Step 6: Final answer
    x = 508,834,691.84

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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.