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Finding the Third Proportional to 109,016,086.50 and 167,565,606.75

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Solution

The third proportional to 109,016,086.50 and 167,565,606.75 is: 257,560,452.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,016,086.50 : 167,565,606.75 = 167,565,606.75 : x
  2. Step 2: Convert to fraction form
    109,016,086.50/167,565,606.75 = 167,565,606.75/x
  3. Step 3: Cross multiply
    109,016,086.50x = 167,565,606.75 × 167,565,606.75
  4. Step 4: Simplify right side
    109,016,086.50x = 28,078,232,565,495,644
  5. Step 5: Solve for x
    x = 28,078,232,565,495,644/109,016,086.50
  6. Step 6: Final answer
    x = 257,560,452.47

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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.