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Finding the Third Proportional to 45,315 and 97,923

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Solution

The third proportional to 45,315 and 97,923 is: 211,605.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,315 : 97,923 = 97,923 : x
  2. Step 2: Convert to fraction form
    45,315/97,923 = 97,923/x
  3. Step 3: Cross multiply
    45,315x = 97,923 × 97,923
  4. Step 4: Simplify right side
    45,315x = 9,588,913,929
  5. Step 5: Solve for x
    x = 9,588,913,929/45,315
  6. Step 6: Final answer
    x = 211,605.74

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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.