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Finding the Third Proportional to 175,726,372.64 and 365,997,457.13

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Solution

The third proportional to 175,726,372.64 and 365,997,457.13 is: 762,288,190.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,726,372.64 : 365,997,457.13 = 365,997,457.13 : x
  2. Step 2: Convert to fraction form
    175,726,372.64/365,997,457.13 = 365,997,457.13/x
  3. Step 3: Cross multiply
    175,726,372.64x = 365,997,457.13 × 365,997,457.13
  4. Step 4: Simplify right side
    175,726,372.64x = 133,954,138,621,966,208
  5. Step 5: Solve for x
    x = 133,954,138,621,966,208/175,726,372.64
  6. Step 6: Final answer
    x = 762,288,190.49

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.