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Finding the Third Proportional to 80,105,184 and 164,456,952

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Solution

The third proportional to 80,105,184 and 164,456,952 is: 337,632,194.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,105,184 : 164,456,952 = 164,456,952 : x
  2. Step 2: Convert to fraction form
    80,105,184/164,456,952 = 164,456,952/x
  3. Step 3: Cross multiply
    80,105,184x = 164,456,952 × 164,456,952
  4. Step 4: Simplify right side
    80,105,184x = 27,046,089,061,130,304
  5. Step 5: Solve for x
    x = 27,046,089,061,130,304/80,105,184
  6. Step 6: Final answer
    x = 337,632,194.45

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.