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Finding the Third Proportional to 43,403.50 and 95,117

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Solution

The third proportional to 43,403.50 and 95,117 is: 208,445.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,403.50 : 95,117 = 95,117 : x
  2. Step 2: Convert to fraction form
    43,403.50/95,117 = 95,117/x
  3. Step 3: Cross multiply
    43,403.50x = 95,117 × 95,117
  4. Step 4: Simplify right side
    43,403.50x = 9,047,243,689
  5. Step 5: Solve for x
    x = 9,047,243,689/43,403.50
  6. Step 6: Final answer
    x = 208,445.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.