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Finding the Third Proportional to 84,788,097 and 183,661,941

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Solution

The third proportional to 84,788,097 and 183,661,941 is: 397,835,424.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,788,097 : 183,661,941 = 183,661,941 : x
  2. Step 2: Convert to fraction form
    84,788,097/183,661,941 = 183,661,941/x
  3. Step 3: Cross multiply
    84,788,097x = 183,661,941 × 183,661,941
  4. Step 4: Simplify right side
    84,788,097x = 33,731,708,571,887,480
  5. Step 5: Solve for x
    x = 33,731,708,571,887,480/84,788,097
  6. Step 6: Final answer
    x = 397,835,424.61

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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.