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Finding the Third Proportional to 117,065,996 and 252,112,324

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Solution

The third proportional to 117,065,996 and 252,112,324 is: 542,946,936.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,065,996 : 252,112,324 = 252,112,324 : x
  2. Step 2: Convert to fraction form
    117,065,996/252,112,324 = 252,112,324/x
  3. Step 3: Cross multiply
    117,065,996x = 252,112,324 × 252,112,324
  4. Step 4: Simplify right side
    117,065,996x = 63,560,623,912,680,976
  5. Step 5: Solve for x
    x = 63,560,623,912,680,976/117,065,996
  6. Step 6: Final answer
    x = 542,946,936.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.