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Finding the Third Proportional to 46,018.13 and 96,126.75

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Solution

The third proportional to 46,018.13 and 96,126.75 is: 200,798.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,018.13 : 96,126.75 = 96,126.75 : x
  2. Step 2: Convert to fraction form
    46,018.13/96,126.75 = 96,126.75/x
  3. Step 3: Cross multiply
    46,018.13x = 96,126.75 × 96,126.75
  4. Step 4: Simplify right side
    46,018.13x = 9,240,352,065.56
  5. Step 5: Solve for x
    x = 9,240,352,065.56/46,018.13
  6. Step 6: Final answer
    x = 200,798.10

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.