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Finding the Third Proportional to 46,383 and 101,046

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Solution

The third proportional to 46,383 and 101,046 is: 220,130.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,383 : 101,046 = 101,046 : x
  2. Step 2: Convert to fraction form
    46,383/101,046 = 101,046/x
  3. Step 3: Cross multiply
    46,383x = 101,046 × 101,046
  4. Step 4: Simplify right side
    46,383x = 10,210,294,116
  5. Step 5: Solve for x
    x = 10,210,294,116/46,383
  6. Step 6: Final answer
    x = 220,130.09

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Why These Related Problems?

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