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Finding the Third Proportional to 46,170 and 101,128.50

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Solution

The third proportional to 46,170 and 101,128.50 is: 221,506.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,170 : 101,128.50 = 101,128.50 : x
  2. Step 2: Convert to fraction form
    46,170/101,128.50 = 101,128.50/x
  3. Step 3: Cross multiply
    46,170x = 101,128.50 × 101,128.50
  4. Step 4: Simplify right side
    46,170x = 10,226,973,512.25
  5. Step 5: Solve for x
    x = 10,226,973,512.25/46,170
  6. Step 6: Final answer
    x = 221,506.90

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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.