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Finding the Third Proportional to 92,292.75 and 217,303.88

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Solution

The third proportional to 92,292.75 and 217,303.88 is: 511,643.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,292.75 : 217,303.88 = 217,303.88 : x
  2. Step 2: Convert to fraction form
    92,292.75/217,303.88 = 217,303.88/x
  3. Step 3: Cross multiply
    92,292.75x = 217,303.88 × 217,303.88
  4. Step 4: Simplify right side
    92,292.75x = 47,220,974,090.02
  5. Step 5: Solve for x
    x = 47,220,974,090.02/92,292.75
  6. Step 6: Final answer
    x = 511,643.37

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.