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Finding the Third Proportional to 166,433,811 and 265,062,438

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Solution

The third proportional to 166,433,811 and 265,062,438 is: 422,138,360.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,433,811 : 265,062,438 = 265,062,438 : x
  2. Step 2: Convert to fraction form
    166,433,811/265,062,438 = 265,062,438/x
  3. Step 3: Cross multiply
    166,433,811x = 265,062,438 × 265,062,438
  4. Step 4: Simplify right side
    166,433,811x = 70,258,096,038,503,840
  5. Step 5: Solve for x
    x = 70,258,096,038,503,840/166,433,811
  6. Step 6: Final answer
    x = 422,138,360.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.