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Finding the Third Proportional to 166,170,849 and 384,655,428

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Solution

The third proportional to 166,170,849 and 384,655,428 is: 890,407,668.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,170,849 : 384,655,428 = 384,655,428 : x
  2. Step 2: Convert to fraction form
    166,170,849/384,655,428 = 384,655,428/x
  3. Step 3: Cross multiply
    166,170,849x = 384,655,428 × 384,655,428
  4. Step 4: Simplify right side
    166,170,849x = 147,959,798,289,863,168
  5. Step 5: Solve for x
    x = 147,959,798,289,863,168/166,170,849
  6. Step 6: Final answer
    x = 890,407,668.86

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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.