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Finding the Third Proportional to 151,108.88 and 317,731.50

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Solution

The third proportional to 151,108.88 and 317,731.50 is: 668,083.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,108.88 : 317,731.50 = 317,731.50 : x
  2. Step 2: Convert to fraction form
    151,108.88/317,731.50 = 317,731.50/x
  3. Step 3: Cross multiply
    151,108.88x = 317,731.50 × 317,731.50
  4. Step 4: Simplify right side
    151,108.88x = 100,953,306,092.25
  5. Step 5: Solve for x
    x = 100,953,306,092.25/151,108.88
  6. Step 6: Final answer
    x = 668,083.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.