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Finding the Third Proportional to 135,012,773.25 and 294,556,824

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Solution

The third proportional to 135,012,773.25 and 294,556,824 is: 642,633,437.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,012,773.25 : 294,556,824 = 294,556,824 : x
  2. Step 2: Convert to fraction form
    135,012,773.25/294,556,824 = 294,556,824/x
  3. Step 3: Cross multiply
    135,012,773.25x = 294,556,824 × 294,556,824
  4. Step 4: Simplify right side
    135,012,773.25x = 86,763,722,564,966,976
  5. Step 5: Solve for x
    x = 86,763,722,564,966,976/135,012,773.25
  6. Step 6: Final answer
    x = 642,633,437.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.