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Finding the Third Proportional to 46,095 and 100,533

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Solution

The third proportional to 46,095 and 100,533 is: 219,262.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,095 : 100,533 = 100,533 : x
  2. Step 2: Convert to fraction form
    46,095/100,533 = 100,533/x
  3. Step 3: Cross multiply
    46,095x = 100,533 × 100,533
  4. Step 4: Simplify right side
    46,095x = 10,106,884,089
  5. Step 5: Solve for x
    x = 10,106,884,089/46,095
  6. Step 6: Final answer
    x = 219,262.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.