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Finding the Third Proportional to 81,757,255.50 and 179,404,843.50

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Solution

The third proportional to 81,757,255.50 and 179,404,843.50 is: 393,678,795.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,757,255.50 : 179,404,843.50 = 179,404,843.50 : x
  2. Step 2: Convert to fraction form
    81,757,255.50/179,404,843.50 = 179,404,843.50/x
  3. Step 3: Cross multiply
    81,757,255.50x = 179,404,843.50 × 179,404,843.50
  4. Step 4: Simplify right side
    81,757,255.50x = 32,186,097,871,259,492
  5. Step 5: Solve for x
    x = 32,186,097,871,259,492/81,757,255.50
  6. Step 6: Final answer
    x = 393,678,795.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.