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Finding the Third Proportional to 96,381,999 and 146,832,844.50

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Solution

The third proportional to 96,381,999 and 146,832,844.50 is: 223,692,021.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,381,999 : 146,832,844.50 = 146,832,844.50 : x
  2. Step 2: Convert to fraction form
    96,381,999/146,832,844.50 = 146,832,844.50/x
  3. Step 3: Cross multiply
    96,381,999x = 146,832,844.50 × 146,832,844.50
  4. Step 4: Simplify right side
    96,381,999x = 21,559,884,223,961,180
  5. Step 5: Solve for x
    x = 21,559,884,223,961,180/96,381,999
  6. Step 6: Final answer
    x = 223,692,021.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.