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Finding the Third Proportional to 132,180,372 and 286,320,168

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Solution

The third proportional to 132,180,372 and 286,320,168 is: 620,207,352.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,180,372 : 286,320,168 = 286,320,168 : x
  2. Step 2: Convert to fraction form
    132,180,372/286,320,168 = 286,320,168/x
  3. Step 3: Cross multiply
    132,180,372x = 286,320,168 × 286,320,168
  4. Step 4: Simplify right side
    132,180,372x = 81,979,238,603,548,224
  5. Step 5: Solve for x
    x = 81,979,238,603,548,224/132,180,372
  6. Step 6: Final answer
    x = 620,207,352.75

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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.