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Finding the Third Proportional to 46,052.30 and 100,871.58

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Solution

The third proportional to 46,052.30 and 100,871.58 is: 220,946.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,052.30 : 100,871.58 = 100,871.58 : x
  2. Step 2: Convert to fraction form
    46,052.30/100,871.58 = 100,871.58/x
  3. Step 3: Cross multiply
    46,052.30x = 100,871.58 × 100,871.58
  4. Step 4: Simplify right side
    46,052.30x = 10,175,075,273.43
  5. Step 5: Solve for x
    x = 10,175,075,273.43/46,052.30
  6. Step 6: Final answer
    x = 220,946.10

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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.