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Finding the Third Proportional to 45,315 and 96,702.75

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Solution

The third proportional to 45,315 and 96,702.75 is: 206,364.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,315 : 96,702.75 = 96,702.75 : x
  2. Step 2: Convert to fraction form
    45,315/96,702.75 = 96,702.75/x
  3. Step 3: Cross multiply
    45,315x = 96,702.75 × 96,702.75
  4. Step 4: Simplify right side
    45,315x = 9,351,421,857.56
  5. Step 5: Solve for x
    x = 9,351,421,857.56/45,315
  6. Step 6: Final answer
    x = 206,364.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.