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Finding the Third Proportional to 55,523,542.50 and 82,958,712.75

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Solution

The third proportional to 55,523,542.50 and 82,958,712.75 is: 123,950,088.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,523,542.50 : 82,958,712.75 = 82,958,712.75 : x
  2. Step 2: Convert to fraction form
    55,523,542.50/82,958,712.75 = 82,958,712.75/x
  3. Step 3: Cross multiply
    55,523,542.50x = 82,958,712.75 × 82,958,712.75
  4. Step 4: Simplify right side
    55,523,542.50x = 6,882,148,021,137,013
  5. Step 5: Solve for x
    x = 6,882,148,021,137,013/55,523,542.50
  6. Step 6: Final answer
    x = 123,950,088.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.