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Finding the Third Proportional to 46,734.50 and 100,030.50

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Solution

The third proportional to 46,734.50 and 100,030.50 is: 214,105.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,734.50 : 100,030.50 = 100,030.50 : x
  2. Step 2: Convert to fraction form
    46,734.50/100,030.50 = 100,030.50/x
  3. Step 3: Cross multiply
    46,734.50x = 100,030.50 × 100,030.50
  4. Step 4: Simplify right side
    46,734.50x = 10,006,100,930.25
  5. Step 5: Solve for x
    x = 10,006,100,930.25/46,734.50
  6. Step 6: Final answer
    x = 214,105.23

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.