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Finding the Third Proportional to 46,228.50 and 94,641

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Solution

The third proportional to 46,228.50 and 94,641 is: 193,753.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,228.50 : 94,641 = 94,641 : x
  2. Step 2: Convert to fraction form
    46,228.50/94,641 = 94,641/x
  3. Step 3: Cross multiply
    46,228.50x = 94,641 × 94,641
  4. Step 4: Simplify right side
    46,228.50x = 8,956,918,881
  5. Step 5: Solve for x
    x = 8,956,918,881/46,228.50
  6. Step 6: Final answer
    x = 193,753.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.