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Finding the Third Proportional to 135,858,230 and 287,050,860

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Solution

The third proportional to 135,858,230 and 287,050,860 is: 606,501,322.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,858,230 : 287,050,860 = 287,050,860 : x
  2. Step 2: Convert to fraction form
    135,858,230/287,050,860 = 287,050,860/x
  3. Step 3: Cross multiply
    135,858,230x = 287,050,860 × 287,050,860
  4. Step 4: Simplify right side
    135,858,230x = 82,398,196,226,739,600
  5. Step 5: Solve for x
    x = 82,398,196,226,739,600/135,858,230
  6. Step 6: Final answer
    x = 606,501,322.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.