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Finding the Third Proportional to 46,943 and 96,984

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Solution

The third proportional to 46,943 and 96,984 is: 200,368.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,943 : 96,984 = 96,984 : x
  2. Step 2: Convert to fraction form
    46,943/96,984 = 96,984/x
  3. Step 3: Cross multiply
    46,943x = 96,984 × 96,984
  4. Step 4: Simplify right side
    46,943x = 9,405,896,256
  5. Step 5: Solve for x
    x = 9,405,896,256/46,943
  6. Step 6: Final answer
    x = 200,368.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.