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Finding the Third Proportional to 166,170,827.25 and 384,655,395.94

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Solution

The third proportional to 166,170,827.25 and 384,655,395.94 is: 890,407,636.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,170,827.25 : 384,655,395.94 = 384,655,395.94 : x
  2. Step 2: Convert to fraction form
    166,170,827.25/384,655,395.94 = 384,655,395.94/x
  3. Step 3: Cross multiply
    166,170,827.25x = 384,655,395.94 × 384,655,395.94
  4. Step 4: Simplify right side
    166,170,827.25x = 147,959,773,623,834,880
  5. Step 5: Solve for x
    x = 147,959,773,623,834,880/166,170,827.25
  6. Step 6: Final answer
    x = 890,407,636.96

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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.