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Finding the Third Proportional to 104,798.81 and 148,146.47

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Solution

The third proportional to 104,798.81 and 148,146.47 is: 209,423.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,798.81 : 148,146.47 = 148,146.47 : x
  2. Step 2: Convert to fraction form
    104,798.81/148,146.47 = 148,146.47/x
  3. Step 3: Cross multiply
    104,798.81x = 148,146.47 × 148,146.47
  4. Step 4: Simplify right side
    104,798.81x = 21,947,376,203.09
  5. Step 5: Solve for x
    x = 21,947,376,203.09/104,798.81
  6. Step 6: Final answer
    x = 209,423.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.