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Finding the Third Proportional to 130,019,306 and 270,800,271

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Solution

The third proportional to 130,019,306 and 270,800,271 is: 564,014,599.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,019,306 : 270,800,271 = 270,800,271 : x
  2. Step 2: Convert to fraction form
    130,019,306/270,800,271 = 270,800,271/x
  3. Step 3: Cross multiply
    130,019,306x = 270,800,271 × 270,800,271
  4. Step 4: Simplify right side
    130,019,306x = 73,332,786,773,673,440
  5. Step 5: Solve for x
    x = 73,332,786,773,673,440/130,019,306
  6. Step 6: Final answer
    x = 564,014,599.29

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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.