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Finding the Third Proportional to 356,869,456.50 and 545,561,450.25

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Solution

The third proportional to 356,869,456.50 and 545,561,450.25 is: 834,022,891.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,869,456.50 : 545,561,450.25 = 545,561,450.25 : x
  2. Step 2: Convert to fraction form
    356,869,456.50/545,561,450.25 = 545,561,450.25/x
  3. Step 3: Cross multiply
    356,869,456.50x = 545,561,450.25 × 545,561,450.25
  4. Step 4: Simplify right side
    356,869,456.50x = 297,637,295,998,883,200
  5. Step 5: Solve for x
    x = 297,637,295,998,883,200/356,869,456.50
  6. Step 6: Final answer
    x = 834,022,891.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.