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Finding the Third Proportional to 49,598,360 and 105,096,976

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Solution

The third proportional to 49,598,360 and 105,096,976 is: 222,696,362.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,598,360 : 105,096,976 = 105,096,976 : x
  2. Step 2: Convert to fraction form
    49,598,360/105,096,976 = 105,096,976/x
  3. Step 3: Cross multiply
    49,598,360x = 105,096,976 × 105,096,976
  4. Step 4: Simplify right side
    49,598,360x = 11,045,374,364,344,576
  5. Step 5: Solve for x
    x = 11,045,374,364,344,576/49,598,360
  6. Step 6: Final answer
    x = 222,696,362.63

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.