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Finding the Third Proportional to 46,980 and 103,009.50

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Solution

The third proportional to 46,980 and 103,009.50 is: 225,861.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,980 : 103,009.50 = 103,009.50 : x
  2. Step 2: Convert to fraction form
    46,980/103,009.50 = 103,009.50/x
  3. Step 3: Cross multiply
    46,980x = 103,009.50 × 103,009.50
  4. Step 4: Simplify right side
    46,980x = 10,610,957,090.25
  5. Step 5: Solve for x
    x = 10,610,957,090.25/46,980
  6. Step 6: Final answer
    x = 225,861.16

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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.