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Finding the Third Proportional to 109,017,500.06 and 167,567,408.44

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Solution

The third proportional to 109,017,500.06 and 167,567,408.44 is: 257,562,651.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,017,500.06 : 167,567,408.44 = 167,567,408.44 : x
  2. Step 2: Convert to fraction form
    109,017,500.06/167,567,408.44 = 167,567,408.44/x
  3. Step 3: Cross multiply
    109,017,500.06x = 167,567,408.44 × 167,567,408.44
  4. Step 4: Simplify right side
    109,017,500.06x = 28,078,836,370,459,948
  5. Step 5: Solve for x
    x = 28,078,836,370,459,948/109,017,500.06
  6. Step 6: Final answer
    x = 257,562,651.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.