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Finding the Third Proportional to 45,692 and 99,688

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Solution

The third proportional to 45,692 and 99,688 is: 217,493.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,692 : 99,688 = 99,688 : x
  2. Step 2: Convert to fraction form
    45,692/99,688 = 99,688/x
  3. Step 3: Cross multiply
    45,692x = 99,688 × 99,688
  4. Step 4: Simplify right side
    45,692x = 9,937,697,344
  5. Step 5: Solve for x
    x = 9,937,697,344/45,692
  6. Step 6: Final answer
    x = 217,493.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.