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Finding the Third Proportional to 132,168,436 and 286,299,176

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Solution

The third proportional to 132,168,436 and 286,299,176 is: 620,172,415.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,168,436 : 286,299,176 = 286,299,176 : x
  2. Step 2: Convert to fraction form
    132,168,436/286,299,176 = 286,299,176/x
  3. Step 3: Cross multiply
    132,168,436x = 286,299,176 × 286,299,176
  4. Step 4: Simplify right side
    132,168,436x = 81,967,218,178,278,976
  5. Step 5: Solve for x
    x = 81,967,218,178,278,976/132,168,436
  6. Step 6: Final answer
    x = 620,172,415.28

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