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Finding the Third Proportional to 49,350,672 and 106,938,096

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Solution

The third proportional to 49,350,672 and 106,938,096 is: 231,724,430.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,350,672 : 106,938,096 = 106,938,096 : x
  2. Step 2: Convert to fraction form
    49,350,672/106,938,096 = 106,938,096/x
  3. Step 3: Cross multiply
    49,350,672x = 106,938,096 × 106,938,096
  4. Step 4: Simplify right side
    49,350,672x = 11,435,756,376,105,216
  5. Step 5: Solve for x
    x = 11,435,756,376,105,216/49,350,672
  6. Step 6: Final answer
    x = 231,724,430.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.