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Finding the Third Proportional to 87,684,208.50 and 122,587,683.75

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Solution

The third proportional to 87,684,208.50 and 122,587,683.75 is: 171,384,796.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,684,208.50 : 122,587,683.75 = 122,587,683.75 : x
  2. Step 2: Convert to fraction form
    87,684,208.50/122,587,683.75 = 122,587,683.75/x
  3. Step 3: Cross multiply
    87,684,208.50x = 122,587,683.75 × 122,587,683.75
  4. Step 4: Simplify right side
    87,684,208.50x = 15,027,740,207,190,014
  5. Step 5: Solve for x
    x = 15,027,740,207,190,014/87,684,208.50
  6. Step 6: Final answer
    x = 171,384,796.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.