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Finding the Third Proportional to 46,798 and 100,028

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Solution

The third proportional to 46,798 and 100,028 is: 213,804.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,798 : 100,028 = 100,028 : x
  2. Step 2: Convert to fraction form
    46,798/100,028 = 100,028/x
  3. Step 3: Cross multiply
    46,798x = 100,028 × 100,028
  4. Step 4: Simplify right side
    46,798x = 10,005,600,784
  5. Step 5: Solve for x
    x = 10,005,600,784/46,798
  6. Step 6: Final answer
    x = 213,804.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.