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Finding the Third Proportional to 46,480 and 95,431

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Solution

The third proportional to 46,480 and 95,431 is: 195,935.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,480 : 95,431 = 95,431 : x
  2. Step 2: Convert to fraction form
    46,480/95,431 = 95,431/x
  3. Step 3: Cross multiply
    46,480x = 95,431 × 95,431
  4. Step 4: Simplify right side
    46,480x = 9,107,075,761
  5. Step 5: Solve for x
    x = 9,107,075,761/46,480
  6. Step 6: Final answer
    x = 195,935.36

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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.