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Finding the Third Proportional to 43,569.14 and 95,430.66

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Solution

The third proportional to 43,569.14 and 95,430.66 is: 209,024.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,569.14 : 95,430.66 = 95,430.66 : x
  2. Step 2: Convert to fraction form
    43,569.14/95,430.66 = 95,430.66/x
  3. Step 3: Cross multiply
    43,569.14x = 95,430.66 × 95,430.66
  4. Step 4: Simplify right side
    43,569.14x = 9,107,010,152.31
  5. Step 5: Solve for x
    x = 9,107,010,152.31/43,569.14
  6. Step 6: Final answer
    x = 209,024.32

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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.