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Finding the Third Proportional to 138,562,710.75 and 193,718,825.44

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Solution

The third proportional to 138,562,710.75 and 193,718,825.44 is: 270,830,320.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,562,710.75 : 193,718,825.44 = 193,718,825.44 : x
  2. Step 2: Convert to fraction form
    138,562,710.75/193,718,825.44 = 193,718,825.44/x
  3. Step 3: Cross multiply
    138,562,710.75x = 193,718,825.44 × 193,718,825.44
  4. Step 4: Simplify right side
    138,562,710.75x = 37,526,983,328,884,600
  5. Step 5: Solve for x
    x = 37,526,983,328,884,600/138,562,710.75
  6. Step 6: Final answer
    x = 270,830,320.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.