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Finding the Third Proportional to 82,154,196 and 178,007,652

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Solution

The third proportional to 82,154,196 and 178,007,652 is: 385,698,183.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,154,196 : 178,007,652 = 178,007,652 : x
  2. Step 2: Convert to fraction form
    82,154,196/178,007,652 = 178,007,652/x
  3. Step 3: Cross multiply
    82,154,196x = 178,007,652 × 178,007,652
  4. Step 4: Simplify right side
    82,154,196x = 31,686,724,170,553,104
  5. Step 5: Solve for x
    x = 31,686,724,170,553,104/82,154,196
  6. Step 6: Final answer
    x = 385,698,183.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.