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Finding the Third Proportional to 71,099,995.50 and 106,184,081.25

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Solution

The third proportional to 71,099,995.50 and 106,184,081.25 is: 158,580,306.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,099,995.50 : 106,184,081.25 = 106,184,081.25 : x
  2. Step 2: Convert to fraction form
    71,099,995.50/106,184,081.25 = 106,184,081.25/x
  3. Step 3: Cross multiply
    71,099,995.50x = 106,184,081.25 × 106,184,081.25
  4. Step 4: Simplify right side
    71,099,995.50x = 11,275,059,110,906,602
  5. Step 5: Solve for x
    x = 11,275,059,110,906,602/71,099,995.50
  6. Step 6: Final answer
    x = 158,580,306.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.