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Finding the Third Proportional to 45,302.63 and 98,391.38

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Solution

The third proportional to 45,302.63 and 98,391.38 is: 213,693.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,302.63 : 98,391.38 = 98,391.38 : x
  2. Step 2: Convert to fraction form
    45,302.63/98,391.38 = 98,391.38/x
  3. Step 3: Cross multiply
    45,302.63x = 98,391.38 × 98,391.38
  4. Step 4: Simplify right side
    45,302.63x = 9,680,862,674.39
  5. Step 5: Solve for x
    x = 9,680,862,674.39/45,302.63
  6. Step 6: Final answer
    x = 213,693.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.