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Finding the Third Proportional to 54,804,967 and 114,143,918

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Solution

The third proportional to 54,804,967 and 114,143,918 is: 237,730,897.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,804,967 : 114,143,918 = 114,143,918 : x
  2. Step 2: Convert to fraction form
    54,804,967/114,143,918 = 114,143,918/x
  3. Step 3: Cross multiply
    54,804,967x = 114,143,918 × 114,143,918
  4. Step 4: Simplify right side
    54,804,967x = 13,028,834,016,390,724
  5. Step 5: Solve for x
    x = 13,028,834,016,390,724/54,804,967
  6. Step 6: Final answer
    x = 237,730,897.94

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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.