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Finding the Third Proportional to 46,454.50 and 98,903

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Solution

The third proportional to 46,454.50 and 98,903 is: 210,567.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,454.50 : 98,903 = 98,903 : x
  2. Step 2: Convert to fraction form
    46,454.50/98,903 = 98,903/x
  3. Step 3: Cross multiply
    46,454.50x = 98,903 × 98,903
  4. Step 4: Simplify right side
    46,454.50x = 9,781,803,409
  5. Step 5: Solve for x
    x = 9,781,803,409/46,454.50
  6. Step 6: Final answer
    x = 210,567.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.