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Finding the Third Proportional to 166,928,307 and 356,829,345

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Solution

The third proportional to 166,928,307 and 356,829,345 is: 762,765,667.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,928,307 : 356,829,345 = 356,829,345 : x
  2. Step 2: Convert to fraction form
    166,928,307/356,829,345 = 356,829,345/x
  3. Step 3: Cross multiply
    166,928,307x = 356,829,345 × 356,829,345
  4. Step 4: Simplify right side
    166,928,307x = 127,327,181,453,129,024
  5. Step 5: Solve for x
    x = 127,327,181,453,129,024/166,928,307
  6. Step 6: Final answer
    x = 762,765,667.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.