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Finding the Third Proportional to 130,019,296.50 and 270,800,253

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Solution

The third proportional to 130,019,296.50 and 270,800,253 is: 564,014,565.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,019,296.50 : 270,800,253 = 270,800,253 : x
  2. Step 2: Convert to fraction form
    130,019,296.50/270,800,253 = 270,800,253/x
  3. Step 3: Cross multiply
    130,019,296.50x = 270,800,253 × 270,800,253
  4. Step 4: Simplify right side
    130,019,296.50x = 73,332,777,024,864,016
  5. Step 5: Solve for x
    x = 73,332,777,024,864,016/130,019,296.50
  6. Step 6: Final answer
    x = 564,014,565.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.