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Finding the Third Proportional to 43,130.71 and 94,257.63

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Solution

The third proportional to 43,130.71 and 94,257.63 is: 205,990.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,130.71 : 94,257.63 = 94,257.63 : x
  2. Step 2: Convert to fraction form
    43,130.71/94,257.63 = 94,257.63/x
  3. Step 3: Cross multiply
    43,130.71x = 94,257.63 × 94,257.63
  4. Step 4: Simplify right side
    43,130.71x = 8,884,501,343.42
  5. Step 5: Solve for x
    x = 8,884,501,343.42/43,130.71
  6. Step 6: Final answer
    x = 205,990.16

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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.