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Finding the Third Proportional to 84,047,968 and 184,039,200

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Solution

The third proportional to 84,047,968 and 184,039,200 is: 402,989,244.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,047,968 : 184,039,200 = 184,039,200 : x
  2. Step 2: Convert to fraction form
    84,047,968/184,039,200 = 184,039,200/x
  3. Step 3: Cross multiply
    84,047,968x = 184,039,200 × 184,039,200
  4. Step 4: Simplify right side
    84,047,968x = 33,870,427,136,640,000
  5. Step 5: Solve for x
    x = 33,870,427,136,640,000/84,047,968
  6. Step 6: Final answer
    x = 402,989,244.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.