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Finding the Third Proportional to 252,219,662 and 355,026,088

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Solution

The third proportional to 252,219,662 and 355,026,088 is: 499,737,102.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,219,662 : 355,026,088 = 355,026,088 : x
  2. Step 2: Convert to fraction form
    252,219,662/355,026,088 = 355,026,088/x
  3. Step 3: Cross multiply
    252,219,662x = 355,026,088 × 355,026,088
  4. Step 4: Simplify right side
    252,219,662x = 126,043,523,160,583,744
  5. Step 5: Solve for x
    x = 126,043,523,160,583,744/252,219,662
  6. Step 6: Final answer
    x = 499,737,102.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.