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Finding the Third Proportional to 114,601,036 and 177,711,092

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Solution

The third proportional to 114,601,036 and 177,711,092 is: 275,575,451.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,601,036 : 177,711,092 = 177,711,092 : x
  2. Step 2: Convert to fraction form
    114,601,036/177,711,092 = 177,711,092/x
  3. Step 3: Cross multiply
    114,601,036x = 177,711,092 × 177,711,092
  4. Step 4: Simplify right side
    114,601,036x = 31,581,232,219,832,464
  5. Step 5: Solve for x
    x = 31,581,232,219,832,464/114,601,036
  6. Step 6: Final answer
    x = 275,575,451.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.