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Finding the Third Proportional to 47,233.13 and 99,798.19

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Solution

The third proportional to 47,233.13 and 99,798.19 is: 210,862.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,233.13 : 99,798.19 = 99,798.19 : x
  2. Step 2: Convert to fraction form
    47,233.13/99,798.19 = 99,798.19/x
  3. Step 3: Cross multiply
    47,233.13x = 99,798.19 × 99,798.19
  4. Step 4: Simplify right side
    47,233.13x = 9,959,678,228.29
  5. Step 5: Solve for x
    x = 9,959,678,228.29/47,233.13
  6. Step 6: Final answer
    x = 210,862.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.