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Finding the Third Proportional to 71,068.22 and 153,207.28

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Solution

The third proportional to 71,068.22 and 153,207.28 is: 330,280.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,068.22 : 153,207.28 = 153,207.28 : x
  2. Step 2: Convert to fraction form
    71,068.22/153,207.28 = 153,207.28/x
  3. Step 3: Cross multiply
    71,068.22x = 153,207.28 × 153,207.28
  4. Step 4: Simplify right side
    71,068.22x = 23,472,471,028.02
  5. Step 5: Solve for x
    x = 23,472,471,028.02/71,068.22
  6. Step 6: Final answer
    x = 330,280.84

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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.