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Finding the Third Proportional to 132,050,050 and 289,609,267

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Solution

The third proportional to 132,050,050 and 289,609,267 is: 635,164,678.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,050,050 : 289,609,267 = 289,609,267 : x
  2. Step 2: Convert to fraction form
    132,050,050/289,609,267 = 289,609,267/x
  3. Step 3: Cross multiply
    132,050,050x = 289,609,267 × 289,609,267
  4. Step 4: Simplify right side
    132,050,050x = 83,873,527,532,277,296
  5. Step 5: Solve for x
    x = 83,873,527,532,277,296/132,050,050
  6. Step 6: Final answer
    x = 635,164,678.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.