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Finding the Third Proportional to 77,880,295.13 and 166,186,383.75

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Solution

The third proportional to 77,880,295.13 and 166,186,383.75 is: 354,620,049.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,880,295.13 : 166,186,383.75 = 166,186,383.75 : x
  2. Step 2: Convert to fraction form
    77,880,295.13/166,186,383.75 = 166,186,383.75/x
  3. Step 3: Cross multiply
    77,880,295.13x = 166,186,383.75 × 166,186,383.75
  4. Step 4: Simplify right side
    77,880,295.13x = 27,617,914,143,902,264
  5. Step 5: Solve for x
    x = 27,617,914,143,902,264/77,880,295.13
  6. Step 6: Final answer
    x = 354,620,049.91

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.