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Finding the Third Proportional to 46,670.50 and 105,650

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Solution

The third proportional to 46,670.50 and 105,650 is: 239,164.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,670.50 : 105,650 = 105,650 : x
  2. Step 2: Convert to fraction form
    46,670.50/105,650 = 105,650/x
  3. Step 3: Cross multiply
    46,670.50x = 105,650 × 105,650
  4. Step 4: Simplify right side
    46,670.50x = 11,161,922,500
  5. Step 5: Solve for x
    x = 11,161,922,500/46,670.50
  6. Step 6: Final answer
    x = 239,164.41

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.