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Finding the Third Proportional to 114,601,020 and 177,711,066

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Solution

The third proportional to 114,601,020 and 177,711,066 is: 275,575,409.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,601,020 : 177,711,066 = 177,711,066 : x
  2. Step 2: Convert to fraction form
    114,601,020/177,711,066 = 177,711,066/x
  3. Step 3: Cross multiply
    114,601,020x = 177,711,066 × 177,711,066
  4. Step 4: Simplify right side
    114,601,020x = 31,581,222,978,856,356
  5. Step 5: Solve for x
    x = 31,581,222,978,856,356/114,601,020
  6. Step 6: Final answer
    x = 275,575,409.18

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