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Finding the Third Proportional to 166,170,835.13 and 384,655,398.75

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Solution

The third proportional to 166,170,835.13 and 384,655,398.75 is: 890,407,607.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,170,835.13 : 384,655,398.75 = 384,655,398.75 : x
  2. Step 2: Convert to fraction form
    166,170,835.13/384,655,398.75 = 384,655,398.75/x
  3. Step 3: Cross multiply
    166,170,835.13x = 384,655,398.75 × 384,655,398.75
  4. Step 4: Simplify right side
    166,170,835.13x = 147,959,775,787,521,504
  5. Step 5: Solve for x
    x = 147,959,775,787,521,504/166,170,835.13
  6. Step 6: Final answer
    x = 890,407,607.79

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.