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Finding the Third Proportional to 84,833,536 and 129,715,458

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Solution

The third proportional to 84,833,536 and 129,715,458 is: 198,342,552.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,833,536 : 129,715,458 = 129,715,458 : x
  2. Step 2: Convert to fraction form
    84,833,536/129,715,458 = 129,715,458/x
  3. Step 3: Cross multiply
    84,833,536x = 129,715,458 × 129,715,458
  4. Step 4: Simplify right side
    84,833,536x = 16,826,100,044,149,764
  5. Step 5: Solve for x
    x = 16,826,100,044,149,764/84,833,536
  6. Step 6: Final answer
    x = 198,342,552.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.