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Finding the Third Proportional to 46,629.42 and 100,583.02

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Solution

The third proportional to 46,629.42 and 100,583.02 is: 216,964.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,629.42 : 100,583.02 = 100,583.02 : x
  2. Step 2: Convert to fraction form
    46,629.42/100,583.02 = 100,583.02/x
  3. Step 3: Cross multiply
    46,629.42x = 100,583.02 × 100,583.02
  4. Step 4: Simplify right side
    46,629.42x = 10,116,943,032.22
  5. Step 5: Solve for x
    x = 10,116,943,032.22/46,629.42
  6. Step 6: Final answer
    x = 216,964.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.