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Finding the Third Proportional to 46,460.25 and 101,817

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Solution

The third proportional to 46,460.25 and 101,817 is: 223,130.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,460.25 : 101,817 = 101,817 : x
  2. Step 2: Convert to fraction form
    46,460.25/101,817 = 101,817/x
  3. Step 3: Cross multiply
    46,460.25x = 101,817 × 101,817
  4. Step 4: Simplify right side
    46,460.25x = 10,366,701,489
  5. Step 5: Solve for x
    x = 10,366,701,489/46,460.25
  6. Step 6: Final answer
    x = 223,130.56

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.