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Finding the Third Proportional to 46,215 and 94,618.88

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Solution

The third proportional to 46,215 and 94,618.88 is: 193,719.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,215 : 94,618.88 = 94,618.88 : x
  2. Step 2: Convert to fraction form
    46,215/94,618.88 = 94,618.88/x
  3. Step 3: Cross multiply
    46,215x = 94,618.88 × 94,618.88
  4. Step 4: Simplify right side
    46,215x = 8,952,731,506.27
  5. Step 5: Solve for x
    x = 8,952,731,506.27/46,215
  6. Step 6: Final answer
    x = 193,719.17

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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.