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Finding the Third Proportional to 135,132,538.50 and 210,599,382

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Solution

The third proportional to 135,132,538.50 and 210,599,382 is: 328,211,844.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,132,538.50 : 210,599,382 = 210,599,382 : x
  2. Step 2: Convert to fraction form
    135,132,538.50/210,599,382 = 210,599,382/x
  3. Step 3: Cross multiply
    135,132,538.50x = 210,599,382 × 210,599,382
  4. Step 4: Simplify right side
    135,132,538.50x = 44,352,099,698,781,920
  5. Step 5: Solve for x
    x = 44,352,099,698,781,920/135,132,538.50
  6. Step 6: Final answer
    x = 328,211,844.39

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.