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Finding the Third Proportional to 84,788,544 and 183,662,872.50

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Solution

The third proportional to 84,788,544 and 183,662,872.50 is: 397,837,362.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,788,544 : 183,662,872.50 = 183,662,872.50 : x
  2. Step 2: Convert to fraction form
    84,788,544/183,662,872.50 = 183,662,872.50/x
  3. Step 3: Cross multiply
    84,788,544x = 183,662,872.50 × 183,662,872.50
  4. Step 4: Simplify right side
    84,788,544x = 33,732,050,734,951,256
  5. Step 5: Solve for x
    x = 33,732,050,734,951,256/84,788,544
  6. Step 6: Final answer
    x = 397,837,362.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.