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Finding the Third Proportional to 104,038.88 and 227,341.13

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Solution

The third proportional to 104,038.88 and 227,341.13 is: 496,775.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,038.88 : 227,341.13 = 227,341.13 : x
  2. Step 2: Convert to fraction form
    104,038.88/227,341.13 = 227,341.13/x
  3. Step 3: Cross multiply
    104,038.88x = 227,341.13 × 227,341.13
  4. Step 4: Simplify right side
    104,038.88x = 51,683,987,116.27
  5. Step 5: Solve for x
    x = 51,683,987,116.27/104,038.88
  6. Step 6: Final answer
    x = 496,775.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.