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Finding the Third Proportional to 102,048 and 216,237

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Solution

The third proportional to 102,048 and 216,237 is: 458,200.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,048 : 216,237 = 216,237 : x
  2. Step 2: Convert to fraction form
    102,048/216,237 = 216,237/x
  3. Step 3: Cross multiply
    102,048x = 216,237 × 216,237
  4. Step 4: Simplify right side
    102,048x = 46,758,440,169
  5. Step 5: Solve for x
    x = 46,758,440,169/102,048
  6. Step 6: Final answer
    x = 458,200.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.