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Finding the Third Proportional to 76,857,654 and 165,962,220

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Solution

The third proportional to 76,857,654 and 165,962,220 is: 358,369,752.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,857,654 : 165,962,220 = 165,962,220 : x
  2. Step 2: Convert to fraction form
    76,857,654/165,962,220 = 165,962,220/x
  3. Step 3: Cross multiply
    76,857,654x = 165,962,220 × 165,962,220
  4. Step 4: Simplify right side
    76,857,654x = 27,543,458,467,328,400
  5. Step 5: Solve for x
    x = 27,543,458,467,328,400/76,857,654
  6. Step 6: Final answer
    x = 358,369,752.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.