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Finding the Third Proportional to 46,858 and 103,316

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Solution

The third proportional to 46,858 and 103,316 is: 227,798.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,858 : 103,316 = 103,316 : x
  2. Step 2: Convert to fraction form
    46,858/103,316 = 103,316/x
  3. Step 3: Cross multiply
    46,858x = 103,316 × 103,316
  4. Step 4: Simplify right side
    46,858x = 10,674,195,856
  5. Step 5: Solve for x
    x = 10,674,195,856/46,858
  6. Step 6: Final answer
    x = 227,798.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.