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Finding the Third Proportional to 170,708,472 and 264,819,456

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Solution

The third proportional to 170,708,472 and 264,819,456 is: 410,813,496.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,708,472 : 264,819,456 = 264,819,456 : x
  2. Step 2: Convert to fraction form
    170,708,472/264,819,456 = 264,819,456/x
  3. Step 3: Cross multiply
    170,708,472x = 264,819,456 × 264,819,456
  4. Step 4: Simplify right side
    170,708,472x = 70,129,344,276,135,936
  5. Step 5: Solve for x
    x = 70,129,344,276,135,936/170,708,472
  6. Step 6: Final answer
    x = 410,813,496.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.