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Finding the Third Proportional to 109,743,824 and 168,410,400

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Solution

The third proportional to 109,743,824 and 168,410,400 is: 258,438,805.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,743,824 : 168,410,400 = 168,410,400 : x
  2. Step 2: Convert to fraction form
    109,743,824/168,410,400 = 168,410,400/x
  3. Step 3: Cross multiply
    109,743,824x = 168,410,400 × 168,410,400
  4. Step 4: Simplify right side
    109,743,824x = 28,362,062,828,160,000
  5. Step 5: Solve for x
    x = 28,362,062,828,160,000/109,743,824
  6. Step 6: Final answer
    x = 258,438,805.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.