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Finding the Third Proportional to 45,386 and 99,731

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Solution

The third proportional to 45,386 and 99,731 is: 219,148.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,386 : 99,731 = 99,731 : x
  2. Step 2: Convert to fraction form
    45,386/99,731 = 99,731/x
  3. Step 3: Cross multiply
    45,386x = 99,731 × 99,731
  4. Step 4: Simplify right side
    45,386x = 9,946,272,361
  5. Step 5: Solve for x
    x = 9,946,272,361/45,386
  6. Step 6: Final answer
    x = 219,148.47

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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.