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Finding the Third Proportional to 96,376,331.50 and 146,823,123

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Solution

The third proportional to 96,376,331.50 and 146,823,123 is: 223,675,555.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,376,331.50 : 146,823,123 = 146,823,123 : x
  2. Step 2: Convert to fraction form
    96,376,331.50/146,823,123 = 146,823,123/x
  3. Step 3: Cross multiply
    96,376,331.50x = 146,823,123 × 146,823,123
  4. Step 4: Simplify right side
    96,376,331.50x = 21,557,029,447,473,128
  5. Step 5: Solve for x
    x = 21,557,029,447,473,128/96,376,331.50
  6. Step 6: Final answer
    x = 223,675,555.11

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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.