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Finding the Third Proportional to 132,168,434 and 286,299,172

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Solution

The third proportional to 132,168,434 and 286,299,172 is: 620,172,407.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,168,434 : 286,299,172 = 286,299,172 : x
  2. Step 2: Convert to fraction form
    132,168,434/286,299,172 = 286,299,172/x
  3. Step 3: Cross multiply
    132,168,434x = 286,299,172 × 286,299,172
  4. Step 4: Simplify right side
    132,168,434x = 81,967,215,887,885,584
  5. Step 5: Solve for x
    x = 81,967,215,887,885,584/132,168,434
  6. Step 6: Final answer
    x = 620,172,407.34

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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.