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Finding the Third Proportional to 169,021,811 and 370,446,214

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Solution

The third proportional to 169,021,811 and 370,446,214 is: 811,909,401.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,021,811 : 370,446,214 = 370,446,214 : x
  2. Step 2: Convert to fraction form
    169,021,811/370,446,214 = 370,446,214/x
  3. Step 3: Cross multiply
    169,021,811x = 370,446,214 × 370,446,214
  4. Step 4: Simplify right side
    169,021,811x = 137,230,397,466,933,792
  5. Step 5: Solve for x
    x = 137,230,397,466,933,792/169,021,811
  6. Step 6: Final answer
    x = 811,909,401.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.