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Finding the Third Proportional to 68,232,096 and 161,072,784

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Solution

The third proportional to 68,232,096 and 161,072,784 is: 380,238,088.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,232,096 : 161,072,784 = 161,072,784 : x
  2. Step 2: Convert to fraction form
    68,232,096/161,072,784 = 161,072,784/x
  3. Step 3: Cross multiply
    68,232,096x = 161,072,784 × 161,072,784
  4. Step 4: Simplify right side
    68,232,096x = 25,944,441,745,510,656
  5. Step 5: Solve for x
    x = 25,944,441,745,510,656/68,232,096
  6. Step 6: Final answer
    x = 380,238,088.33

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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.