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Finding the Third Proportional to 46,480 and 95,411

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Solution

The third proportional to 46,480 and 95,411 is: 195,853.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,480 : 95,411 = 95,411 : x
  2. Step 2: Convert to fraction form
    46,480/95,411 = 95,411/x
  3. Step 3: Cross multiply
    46,480x = 95,411 × 95,411
  4. Step 4: Simplify right side
    46,480x = 9,103,258,921
  5. Step 5: Solve for x
    x = 9,103,258,921/46,480
  6. Step 6: Final answer
    x = 195,853.25

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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.