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Finding the Third Proportional to 109,218,218.50 and 234,644,961.50

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Solution

The third proportional to 109,218,218.50 and 234,644,961.50 is: 504,112,397.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,218,218.50 : 234,644,961.50 = 234,644,961.50 : x
  2. Step 2: Convert to fraction form
    109,218,218.50/234,644,961.50 = 234,644,961.50/x
  3. Step 3: Cross multiply
    109,218,218.50x = 234,644,961.50 × 234,644,961.50
  4. Step 4: Simplify right side
    109,218,218.50x = 55,058,257,957,336,480
  5. Step 5: Solve for x
    x = 55,058,257,957,336,480/109,218,218.50
  6. Step 6: Final answer
    x = 504,112,397.30

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