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Finding the Third Proportional to 109,831,156.50 and 166,163,911.50

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Solution

The third proportional to 109,831,156.50 and 166,163,911.50 is: 251,389,918.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,831,156.50 : 166,163,911.50 = 166,163,911.50 : x
  2. Step 2: Convert to fraction form
    109,831,156.50/166,163,911.50 = 166,163,911.50/x
  3. Step 3: Cross multiply
    109,831,156.50x = 166,163,911.50 × 166,163,911.50
  4. Step 4: Simplify right side
    109,831,156.50x = 27,610,445,484,979,832
  5. Step 5: Solve for x
    x = 27,610,445,484,979,832/109,831,156.50
  6. Step 6: Final answer
    x = 251,389,918.53

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