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Finding the Third Proportional to 99,136,024 and 214,741,616

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Solution

The third proportional to 99,136,024 and 214,741,616 is: 465,158,474.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,136,024 : 214,741,616 = 214,741,616 : x
  2. Step 2: Convert to fraction form
    99,136,024/214,741,616 = 214,741,616/x
  3. Step 3: Cross multiply
    99,136,024x = 214,741,616 × 214,741,616
  4. Step 4: Simplify right side
    99,136,024x = 46,113,961,642,291,456
  5. Step 5: Solve for x
    x = 46,113,961,642,291,456/99,136,024
  6. Step 6: Final answer
    x = 465,158,474.00

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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.