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Finding the Third Proportional to 76,997,061 and 171,209,450.25

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Solution

The third proportional to 76,997,061 and 171,209,450.25 is: 380,698,632.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,997,061 : 171,209,450.25 = 171,209,450.25 : x
  2. Step 2: Convert to fraction form
    76,997,061/171,209,450.25 = 171,209,450.25/x
  3. Step 3: Cross multiply
    76,997,061x = 171,209,450.25 × 171,209,450.25
  4. Step 4: Simplify right side
    76,997,061x = 29,312,675,854,907,224
  5. Step 5: Solve for x
    x = 29,312,675,854,907,224/76,997,061
  6. Step 6: Final answer
    x = 380,698,632.83

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.