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Finding the Third Proportional to 105,541,052 and 161,450,256

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Solution

The third proportional to 105,541,052 and 161,450,256 is: 246,976,741.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,541,052 : 161,450,256 = 161,450,256 : x
  2. Step 2: Convert to fraction form
    105,541,052/161,450,256 = 161,450,256/x
  3. Step 3: Cross multiply
    105,541,052x = 161,450,256 × 161,450,256
  4. Step 4: Simplify right side
    105,541,052x = 26,066,185,162,465,536
  5. Step 5: Solve for x
    x = 26,066,185,162,465,536/105,541,052
  6. Step 6: Final answer
    x = 246,976,741.93

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.