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Finding the Third Proportional to 45,012.94 and 98,330.91

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Solution

The third proportional to 45,012.94 and 98,330.91 is: 214,804.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,012.94 : 98,330.91 = 98,330.91 : x
  2. Step 2: Convert to fraction form
    45,012.94/98,330.91 = 98,330.91/x
  3. Step 3: Cross multiply
    45,012.94x = 98,330.91 × 98,330.91
  4. Step 4: Simplify right side
    45,012.94x = 9,668,967,123.95
  5. Step 5: Solve for x
    x = 9,668,967,123.95/45,012.94
  6. Step 6: Final answer
    x = 214,804.18

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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.