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Finding the Third Proportional to 132,344,751 and 200,219,256

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Solution

The third proportional to 132,344,751 and 200,219,256 is: 302,903,969.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,344,751 : 200,219,256 = 200,219,256 : x
  2. Step 2: Convert to fraction form
    132,344,751/200,219,256 = 200,219,256/x
  3. Step 3: Cross multiply
    132,344,751x = 200,219,256 × 200,219,256
  4. Step 4: Simplify right side
    132,344,751x = 40,087,750,473,193,536
  5. Step 5: Solve for x
    x = 40,087,750,473,193,536/132,344,751
  6. Step 6: Final answer
    x = 302,903,969.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.