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Finding the Third Proportional to 46,017.75 and 97,339.88

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Solution

The third proportional to 46,017.75 and 97,339.88 is: 205,899.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,017.75 : 97,339.88 = 97,339.88 : x
  2. Step 2: Convert to fraction form
    46,017.75/97,339.88 = 97,339.88/x
  3. Step 3: Cross multiply
    46,017.75x = 97,339.88 × 97,339.88
  4. Step 4: Simplify right side
    46,017.75x = 9,475,051,265.02
  5. Step 5: Solve for x
    x = 9,475,051,265.02/46,017.75
  6. Step 6: Final answer
    x = 205,899.92

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.