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Finding the Third Proportional to 132,955,309.50 and 204,235,634.25

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Solution

The third proportional to 132,955,309.50 and 204,235,634.25 is: 313,730,940.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,955,309.50 : 204,235,634.25 = 204,235,634.25 : x
  2. Step 2: Convert to fraction form
    132,955,309.50/204,235,634.25 = 204,235,634.25/x
  3. Step 3: Cross multiply
    132,955,309.50x = 204,235,634.25 × 204,235,634.25
  4. Step 4: Simplify right side
    132,955,309.50x = 41,712,194,297,499,776
  5. Step 5: Solve for x
    x = 41,712,194,297,499,776/132,955,309.50
  6. Step 6: Final answer
    x = 313,730,940.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.