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Finding the Third Proportional to 54,538,184 and 86,822,916

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Solution

The third proportional to 54,538,184 and 86,822,916 is: 138,219,100.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,538,184 : 86,822,916 = 86,822,916 : x
  2. Step 2: Convert to fraction form
    54,538,184/86,822,916 = 86,822,916/x
  3. Step 3: Cross multiply
    54,538,184x = 86,822,916 × 86,822,916
  4. Step 4: Simplify right side
    54,538,184x = 7,538,218,742,743,056
  5. Step 5: Solve for x
    x = 7,538,218,742,743,056/54,538,184
  6. Step 6: Final answer
    x = 138,219,100.63

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.