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Finding the Third Proportional to 81,804,268.13 and 174,945,943.13

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Solution

The third proportional to 81,804,268.13 and 174,945,943.13 is: 374,137,972.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,804,268.13 : 174,945,943.13 = 174,945,943.13 : x
  2. Step 2: Convert to fraction form
    81,804,268.13/174,945,943.13 = 174,945,943.13/x
  3. Step 3: Cross multiply
    81,804,268.13x = 174,945,943.13 × 174,945,943.13
  4. Step 4: Simplify right side
    81,804,268.13x = 30,606,083,015,895,736
  5. Step 5: Solve for x
    x = 30,606,083,015,895,736/81,804,268.13
  6. Step 6: Final answer
    x = 374,137,972.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.