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Finding the Third Proportional to 132,180,408 and 286,320,240

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Solution

The third proportional to 132,180,408 and 286,320,240 is: 620,207,495.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,180,408 : 286,320,240 = 286,320,240 : x
  2. Step 2: Convert to fraction form
    132,180,408/286,320,240 = 286,320,240/x
  3. Step 3: Cross multiply
    132,180,408x = 286,320,240 × 286,320,240
  4. Step 4: Simplify right side
    132,180,408x = 81,979,279,833,657,600
  5. Step 5: Solve for x
    x = 81,979,279,833,657,600/132,180,408
  6. Step 6: Final answer
    x = 620,207,495.76

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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.