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Finding the Third Proportional to 134,265,622.50 and 293,491,201.50

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Solution

The third proportional to 134,265,622.50 and 293,491,201.50 is: 641,542,367.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,265,622.50 : 293,491,201.50 = 293,491,201.50 : x
  2. Step 2: Convert to fraction form
    134,265,622.50/293,491,201.50 = 293,491,201.50/x
  3. Step 3: Cross multiply
    134,265,622.50x = 293,491,201.50 × 293,491,201.50
  4. Step 4: Simplify right side
    134,265,622.50x = 86,137,085,357,913,600
  5. Step 5: Solve for x
    x = 86,137,085,357,913,600/134,265,622.50
  6. Step 6: Final answer
    x = 641,542,367.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.