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Finding the Third Proportional to 76,310,786 and 165,548,416

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Solution

The third proportional to 76,310,786 and 165,548,416 is: 359,140,292.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,310,786 : 165,548,416 = 165,548,416 : x
  2. Step 2: Convert to fraction form
    76,310,786/165,548,416 = 165,548,416/x
  3. Step 3: Cross multiply
    76,310,786x = 165,548,416 × 165,548,416
  4. Step 4: Simplify right side
    76,310,786x = 27,406,278,040,109,056
  5. Step 5: Solve for x
    x = 27,406,278,040,109,056/76,310,786
  6. Step 6: Final answer
    x = 359,140,292.96

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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.