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Finding the Third Proportional to 191,971.69 and 264,629.53

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Solution

The third proportional to 191,971.69 and 264,629.53 is: 364,787.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,971.69 : 264,629.53 = 264,629.53 : x
  2. Step 2: Convert to fraction form
    191,971.69/264,629.53 = 264,629.53/x
  3. Step 3: Cross multiply
    191,971.69x = 264,629.53 × 264,629.53
  4. Step 4: Simplify right side
    191,971.69x = 70,028,788,809.59
  5. Step 5: Solve for x
    x = 70,028,788,809.59/191,971.69
  6. Step 6: Final answer
    x = 364,787.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.