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Finding the Third Proportional to 45,201.38 and 98,330.63

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Solution

The third proportional to 45,201.38 and 98,330.63 is: 213,907.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,201.38 : 98,330.63 = 98,330.63 : x
  2. Step 2: Convert to fraction form
    45,201.38/98,330.63 = 98,330.63/x
  3. Step 3: Cross multiply
    45,201.38x = 98,330.63 × 98,330.63
  4. Step 4: Simplify right side
    45,201.38x = 9,668,911,812.89
  5. Step 5: Solve for x
    x = 9,668,911,812.89/45,201.38
  6. Step 6: Final answer
    x = 213,907.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.