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Finding the Third Proportional to 209,936,224 and 458,076,912

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Solution

The third proportional to 209,936,224 and 458,076,912 is: 999,515,249.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,936,224 : 458,076,912 = 458,076,912 : x
  2. Step 2: Convert to fraction form
    209,936,224/458,076,912 = 458,076,912/x
  3. Step 3: Cross multiply
    209,936,224x = 458,076,912 × 458,076,912
  4. Step 4: Simplify right side
    209,936,224x = 209,834,457,307,455,744
  5. Step 5: Solve for x
    x = 209,834,457,307,455,744/209,936,224
  6. Step 6: Final answer
    x = 999,515,249.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.