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Finding the Third Proportional to 172,948,864.50 and 377,810,433

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Solution

The third proportional to 172,948,864.50 and 377,810,433 is: 825,334,839.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,948,864.50 : 377,810,433 = 377,810,433 : x
  2. Step 2: Convert to fraction form
    172,948,864.50/377,810,433 = 377,810,433/x
  3. Step 3: Cross multiply
    172,948,864.50x = 377,810,433 × 377,810,433
  4. Step 4: Simplify right side
    172,948,864.50x = 142,740,723,283,647,488
  5. Step 5: Solve for x
    x = 142,740,723,283,647,488/172,948,864.50
  6. Step 6: Final answer
    x = 825,334,839.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.