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Finding the Third Proportional to 132,168,435 and 286,299,174

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Solution

The third proportional to 132,168,435 and 286,299,174 is: 620,172,411.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,168,435 : 286,299,174 = 286,299,174 : x
  2. Step 2: Convert to fraction form
    132,168,435/286,299,174 = 286,299,174/x
  3. Step 3: Cross multiply
    132,168,435x = 286,299,174 × 286,299,174
  4. Step 4: Simplify right side
    132,168,435x = 81,967,217,033,082,272
  5. Step 5: Solve for x
    x = 81,967,217,033,082,272/132,168,435
  6. Step 6: Final answer
    x = 620,172,411.31

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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.