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Finding the Third Proportional to 68,231,308 and 161,070,968

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Solution

The third proportional to 68,231,308 and 161,070,968 is: 380,233,905.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,231,308 : 161,070,968 = 161,070,968 : x
  2. Step 2: Convert to fraction form
    68,231,308/161,070,968 = 161,070,968/x
  3. Step 3: Cross multiply
    68,231,308x = 161,070,968 × 161,070,968
  4. Step 4: Simplify right side
    68,231,308x = 25,943,856,732,457,024
  5. Step 5: Solve for x
    x = 25,943,856,732,457,024/68,231,308
  6. Step 6: Final answer
    x = 380,233,905.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.