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Finding the Third Proportional to 71,100,002 and 106,184,088

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Solution

The third proportional to 71,100,002 and 106,184,088 is: 158,580,312.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,100,002 : 106,184,088 = 106,184,088 : x
  2. Step 2: Convert to fraction form
    71,100,002/106,184,088 = 106,184,088/x
  3. Step 3: Cross multiply
    71,100,002x = 106,184,088 × 106,184,088
  4. Step 4: Simplify right side
    71,100,002x = 11,275,060,544,391,744
  5. Step 5: Solve for x
    x = 11,275,060,544,391,744/71,100,002
  6. Step 6: Final answer
    x = 158,580,312.62

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Why These Related Problems?

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