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Finding the Third Proportional to 84,809,676 and 183,702,098

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Solution

The third proportional to 84,809,676 and 183,702,098 is: 397,908,144.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,809,676 : 183,702,098 = 183,702,098 : x
  2. Step 2: Convert to fraction form
    84,809,676/183,702,098 = 183,702,098/x
  3. Step 3: Cross multiply
    84,809,676x = 183,702,098 × 183,702,098
  4. Step 4: Simplify right side
    84,809,676x = 33,746,460,809,601,604
  5. Step 5: Solve for x
    x = 33,746,460,809,601,604/84,809,676
  6. Step 6: Final answer
    x = 397,908,144.46

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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.