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Finding the Third Proportional to 133,232,650 and 308,414,377

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Solution

The third proportional to 133,232,650 and 308,414,377 is: 713,934,819.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,232,650 : 308,414,377 = 308,414,377 : x
  2. Step 2: Convert to fraction form
    133,232,650/308,414,377 = 308,414,377/x
  3. Step 3: Cross multiply
    133,232,650x = 308,414,377 × 308,414,377
  4. Step 4: Simplify right side
    133,232,650x = 95,119,427,940,298,128
  5. Step 5: Solve for x
    x = 95,119,427,940,298,128/133,232,650
  6. Step 6: Final answer
    x = 713,934,819.58

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.