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Finding the Third Proportional to 218,035,098 and 335,135,046

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Solution

The third proportional to 218,035,098 and 335,135,046 is: 515,125,776.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,035,098 : 335,135,046 = 335,135,046 : x
  2. Step 2: Convert to fraction form
    218,035,098/335,135,046 = 335,135,046/x
  3. Step 3: Cross multiply
    218,035,098x = 335,135,046 × 335,135,046
  4. Step 4: Simplify right side
    218,035,098x = 112,315,499,057,422,112
  5. Step 5: Solve for x
    x = 112,315,499,057,422,112/218,035,098
  6. Step 6: Final answer
    x = 515,125,776.02

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.