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Finding the Third Proportional to 84,073,536 and 181,112,256

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Solution

The third proportional to 84,073,536 and 181,112,256 is: 390,154,272.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,073,536 : 181,112,256 = 181,112,256 : x
  2. Step 2: Convert to fraction form
    84,073,536/181,112,256 = 181,112,256/x
  3. Step 3: Cross multiply
    84,073,536x = 181,112,256 × 181,112,256
  4. Step 4: Simplify right side
    84,073,536x = 32,801,649,273,409,536
  5. Step 5: Solve for x
    x = 32,801,649,273,409,536/84,073,536
  6. Step 6: Final answer
    x = 390,154,272.49

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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.