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Finding the Third Proportional to 109,831,153.50 and 166,163,906.25

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Solution

The third proportional to 109,831,153.50 and 166,163,906.25 is: 251,389,909.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,831,153.50 : 166,163,906.25 = 166,163,906.25 : x
  2. Step 2: Convert to fraction form
    109,831,153.50/166,163,906.25 = 166,163,906.25/x
  3. Step 3: Cross multiply
    109,831,153.50x = 166,163,906.25 × 166,163,906.25
  4. Step 4: Simplify right side
    109,831,153.50x = 27,610,443,740,258,788
  5. Step 5: Solve for x
    x = 27,610,443,740,258,788/109,831,153.50
  6. Step 6: Final answer
    x = 251,389,909.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.