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Finding the Third Proportional to 46,359 and 94,921.88

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Solution

The third proportional to 46,359 and 94,921.88 is: 194,356.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,359 : 94,921.88 = 94,921.88 : x
  2. Step 2: Convert to fraction form
    46,359/94,921.88 = 94,921.88/x
  3. Step 3: Cross multiply
    46,359x = 94,921.88 × 94,921.88
  4. Step 4: Simplify right side
    46,359x = 9,010,162,353.52
  5. Step 5: Solve for x
    x = 9,010,162,353.52/46,359
  6. Step 6: Final answer
    x = 194,356.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.