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Finding the Third Proportional to 54,000,334.50 and 118,767,268.50

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Solution

The third proportional to 54,000,334.50 and 118,767,268.50 is: 261,214,383.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,000,334.50 : 118,767,268.50 = 118,767,268.50 : x
  2. Step 2: Convert to fraction form
    54,000,334.50/118,767,268.50 = 118,767,268.50/x
  3. Step 3: Cross multiply
    54,000,334.50x = 118,767,268.50 × 118,767,268.50
  4. Step 4: Simplify right side
    54,000,334.50x = 14,105,664,066,951,092
  5. Step 5: Solve for x
    x = 14,105,664,066,951,092/54,000,334.50
  6. Step 6: Final answer
    x = 261,214,383.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.