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Finding the Third Proportional to 96,381,997.45 and 146,832,842.39

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Solution

The third proportional to 96,381,997.45 and 146,832,842.39 is: 223,692,018.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,381,997.45 : 146,832,842.39 = 146,832,842.39 : x
  2. Step 2: Convert to fraction form
    96,381,997.45/146,832,842.39 = 146,832,842.39/x
  3. Step 3: Cross multiply
    96,381,997.45x = 146,832,842.39 × 146,832,842.39
  4. Step 4: Simplify right side
    96,381,997.45x = 21,559,883,604,508,652
  5. Step 5: Solve for x
    x = 21,559,883,604,508,652/96,381,997.45
  6. Step 6: Final answer
    x = 223,692,018.99

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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.