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Finding the Third Proportional to 114,089,123 and 171,158,376

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Solution

The third proportional to 114,089,123 and 171,158,376 is: 256,774,606.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,089,123 : 171,158,376 = 171,158,376 : x
  2. Step 2: Convert to fraction form
    114,089,123/171,158,376 = 171,158,376/x
  3. Step 3: Cross multiply
    114,089,123x = 171,158,376 × 171,158,376
  4. Step 4: Simplify right side
    114,089,123x = 29,295,189,674,957,376
  5. Step 5: Solve for x
    x = 29,295,189,674,957,376/114,089,123
  6. Step 6: Final answer
    x = 256,774,606.59

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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.