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Finding the Third Proportional to 45,386.25 and 99,732

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Solution

The third proportional to 45,386.25 and 99,732 is: 219,151.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,386.25 : 99,732 = 99,732 : x
  2. Step 2: Convert to fraction form
    45,386.25/99,732 = 99,732/x
  3. Step 3: Cross multiply
    45,386.25x = 99,732 × 99,732
  4. Step 4: Simplify right side
    45,386.25x = 9,946,471,824
  5. Step 5: Solve for x
    x = 9,946,471,824/45,386.25
  6. Step 6: Final answer
    x = 219,151.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.