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Finding the Third Proportional to 100,363.43 and 147,772.79

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Solution

The third proportional to 100,363.43 and 147,772.79 is: 217,577.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,363.43 : 147,772.79 = 147,772.79 : x
  2. Step 2: Convert to fraction form
    100,363.43/147,772.79 = 147,772.79/x
  3. Step 3: Cross multiply
    100,363.43x = 147,772.79 × 147,772.79
  4. Step 4: Simplify right side
    100,363.43x = 21,836,798,341.79
  5. Step 5: Solve for x
    x = 21,836,798,341.79/100,363.43
  6. Step 6: Final answer
    x = 217,577.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.