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Finding the Third Proportional to 46,883.25 and 101,098.13

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Solution

The third proportional to 46,883.25 and 101,098.13 is: 218,006.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,883.25 : 101,098.13 = 101,098.13 : x
  2. Step 2: Convert to fraction form
    46,883.25/101,098.13 = 101,098.13/x
  3. Step 3: Cross multiply
    46,883.25x = 101,098.13 × 101,098.13
  4. Step 4: Simplify right side
    46,883.25x = 10,220,830,878.52
  5. Step 5: Solve for x
    x = 10,220,830,878.52/46,883.25
  6. Step 6: Final answer
    x = 218,006.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.