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Finding the Third Proportional to 46,820 and 99,148

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Solution

The third proportional to 46,820 and 99,148 is: 209,959.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,820 : 99,148 = 99,148 : x
  2. Step 2: Convert to fraction form
    46,820/99,148 = 99,148/x
  3. Step 3: Cross multiply
    46,820x = 99,148 × 99,148
  4. Step 4: Simplify right side
    46,820x = 9,830,325,904
  5. Step 5: Solve for x
    x = 9,830,325,904/46,820
  6. Step 6: Final answer
    x = 209,959.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.