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Finding the Third Proportional to 46,987.50 and 97,862.25

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Solution

The third proportional to 46,987.50 and 97,862.25 is: 203,820.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,987.50 : 97,862.25 = 97,862.25 : x
  2. Step 2: Convert to fraction form
    46,987.50/97,862.25 = 97,862.25/x
  3. Step 3: Cross multiply
    46,987.50x = 97,862.25 × 97,862.25
  4. Step 4: Simplify right side
    46,987.50x = 9,577,019,975.06
  5. Step 5: Solve for x
    x = 9,577,019,975.06/46,987.50
  6. Step 6: Final answer
    x = 203,820.59

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.