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Finding the Third Proportional to 108,263,384 and 252,623,288

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Solution

The third proportional to 108,263,384 and 252,623,288 is: 589,474,698.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,263,384 : 252,623,288 = 252,623,288 : x
  2. Step 2: Convert to fraction form
    108,263,384/252,623,288 = 252,623,288/x
  3. Step 3: Cross multiply
    108,263,384x = 252,623,288 × 252,623,288
  4. Step 4: Simplify right side
    108,263,384x = 63,818,525,639,930,944
  5. Step 5: Solve for x
    x = 63,818,525,639,930,944/108,263,384
  6. Step 6: Final answer
    x = 589,474,698.48

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.