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Finding the Third Proportional to 92,290.64 and 217,298.95

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Solution

The third proportional to 92,290.64 and 217,298.95 is: 511,631.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,290.64 : 217,298.95 = 217,298.95 : x
  2. Step 2: Convert to fraction form
    92,290.64/217,298.95 = 217,298.95/x
  3. Step 3: Cross multiply
    92,290.64x = 217,298.95 × 217,298.95
  4. Step 4: Simplify right side
    92,290.64x = 47,218,835,029.22
  5. Step 5: Solve for x
    x = 47,218,835,029.22/92,290.64
  6. Step 6: Final answer
    x = 511,631.89

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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.