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Finding the Third Proportional to 76,968,702 and 165,968,172

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Solution

The third proportional to 76,968,702 and 165,968,172 is: 357,878,376.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,968,702 : 165,968,172 = 165,968,172 : x
  2. Step 2: Convert to fraction form
    76,968,702/165,968,172 = 165,968,172/x
  3. Step 3: Cross multiply
    76,968,702x = 165,968,172 × 165,968,172
  4. Step 4: Simplify right side
    76,968,702x = 27,545,434,117,021,584
  5. Step 5: Solve for x
    x = 27,545,434,117,021,584/76,968,702
  6. Step 6: Final answer
    x = 357,878,376.55

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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.