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Finding the Third Proportional to 46,929.25 and 97,185.50

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Solution

The third proportional to 46,929.25 and 97,185.50 is: 201,260.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,929.25 : 97,185.50 = 97,185.50 : x
  2. Step 2: Convert to fraction form
    46,929.25/97,185.50 = 97,185.50/x
  3. Step 3: Cross multiply
    46,929.25x = 97,185.50 × 97,185.50
  4. Step 4: Simplify right side
    46,929.25x = 9,445,021,410.25
  5. Step 5: Solve for x
    x = 9,445,021,410.25/46,929.25
  6. Step 6: Final answer
    x = 201,260.86

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.