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Finding the Third Proportional to 130,019,311 and 270,800,281

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Solution

The third proportional to 130,019,311 and 270,800,281 is: 564,014,619.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,019,311 : 270,800,281 = 270,800,281 : x
  2. Step 2: Convert to fraction form
    130,019,311/270,800,281 = 270,800,281/x
  3. Step 3: Cross multiply
    130,019,311x = 270,800,281 × 270,800,281
  4. Step 4: Simplify right side
    130,019,311x = 73,332,792,189,678,960
  5. Step 5: Solve for x
    x = 73,332,792,189,678,960/130,019,311
  6. Step 6: Final answer
    x = 564,014,619.26

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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.