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Finding the Third Proportional to 109,831,155 and 166,163,908.50

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Solution

The third proportional to 109,831,155 and 166,163,908.50 is: 251,389,912.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,831,155 : 166,163,908.50 = 166,163,908.50 : x
  2. Step 2: Convert to fraction form
    109,831,155/166,163,908.50 = 166,163,908.50/x
  3. Step 3: Cross multiply
    109,831,155x = 166,163,908.50 × 166,163,908.50
  4. Step 4: Simplify right side
    109,831,155x = 27,610,444,487,996,372
  5. Step 5: Solve for x
    x = 27,610,444,487,996,372/109,831,155
  6. Step 6: Final answer
    x = 251,389,912.89

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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.