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Finding the Third Proportional to 46,903 and 98,666

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Solution

The third proportional to 46,903 and 98,666 is: 207,555.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,903 : 98,666 = 98,666 : x
  2. Step 2: Convert to fraction form
    46,903/98,666 = 98,666/x
  3. Step 3: Cross multiply
    46,903x = 98,666 × 98,666
  4. Step 4: Simplify right side
    46,903x = 9,734,979,556
  5. Step 5: Solve for x
    x = 9,734,979,556/46,903
  6. Step 6: Final answer
    x = 207,555.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.