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Finding the Third Proportional to 46,943 and 97,783

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Solution

The third proportional to 46,943 and 97,783 is: 203,683.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,943 : 97,783 = 97,783 : x
  2. Step 2: Convert to fraction form
    46,943/97,783 = 97,783/x
  3. Step 3: Cross multiply
    46,943x = 97,783 × 97,783
  4. Step 4: Simplify right side
    46,943x = 9,561,515,089
  5. Step 5: Solve for x
    x = 9,561,515,089/46,943
  6. Step 6: Final answer
    x = 203,683.51

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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.