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Finding the Third Proportional to 46,771.50 and 102,291

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Solution

The third proportional to 46,771.50 and 102,291 is: 223,714.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,771.50 : 102,291 = 102,291 : x
  2. Step 2: Convert to fraction form
    46,771.50/102,291 = 102,291/x
  3. Step 3: Cross multiply
    46,771.50x = 102,291 × 102,291
  4. Step 4: Simplify right side
    46,771.50x = 10,463,448,681
  5. Step 5: Solve for x
    x = 10,463,448,681/46,771.50
  6. Step 6: Final answer
    x = 223,714.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.