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Finding the Third Proportional to 54,804,965 and 114,143,914

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Solution

The third proportional to 54,804,965 and 114,143,914 is: 237,730,889.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,804,965 : 114,143,914 = 114,143,914 : x
  2. Step 2: Convert to fraction form
    54,804,965/114,143,914 = 114,143,914/x
  3. Step 3: Cross multiply
    54,804,965x = 114,143,914 × 114,143,914
  4. Step 4: Simplify right side
    54,804,965x = 13,028,833,103,239,396
  5. Step 5: Solve for x
    x = 13,028,833,103,239,396/54,804,965
  6. Step 6: Final answer
    x = 237,730,889.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.