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Finding the Third Proportional to 114,089,121 and 171,158,373

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Solution

The third proportional to 114,089,121 and 171,158,373 is: 256,774,602.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,089,121 : 171,158,373 = 171,158,373 : x
  2. Step 2: Convert to fraction form
    114,089,121/171,158,373 = 171,158,373/x
  3. Step 3: Cross multiply
    114,089,121x = 171,158,373 × 171,158,373
  4. Step 4: Simplify right side
    114,089,121x = 29,295,188,648,007,128
  5. Step 5: Solve for x
    x = 29,295,188,648,007,128/114,089,121
  6. Step 6: Final answer
    x = 256,774,602.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.