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Finding the Third Proportional to 142,826,572 and 201,131,286.25

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Solution

The third proportional to 142,826,572 and 201,131,286.25 is: 283,237,171.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,826,572 : 201,131,286.25 = 201,131,286.25 : x
  2. Step 2: Convert to fraction form
    142,826,572/201,131,286.25 = 201,131,286.25/x
  3. Step 3: Cross multiply
    142,826,572x = 201,131,286.25 × 201,131,286.25
  4. Step 4: Simplify right side
    142,826,572x = 40,453,794,308,579,440
  5. Step 5: Solve for x
    x = 40,453,794,308,579,440/142,826,572
  6. Step 6: Final answer
    x = 283,237,171.78

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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.