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Finding the Third Proportional to 53,977,249 and 117,538,418

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Solution

The third proportional to 53,977,249 and 117,538,418 is: 255,946,347.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,977,249 : 117,538,418 = 117,538,418 : x
  2. Step 2: Convert to fraction form
    53,977,249/117,538,418 = 117,538,418/x
  3. Step 3: Cross multiply
    53,977,249x = 117,538,418 × 117,538,418
  4. Step 4: Simplify right side
    53,977,249x = 13,815,279,705,942,724
  5. Step 5: Solve for x
    x = 13,815,279,705,942,724/53,977,249
  6. Step 6: Final answer
    x = 255,946,347.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.