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Finding the Third Proportional to 102,033 and 216,417

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Solution

The third proportional to 102,033 and 216,417 is: 459,031.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,033 : 216,417 = 216,417 : x
  2. Step 2: Convert to fraction form
    102,033/216,417 = 216,417/x
  3. Step 3: Cross multiply
    102,033x = 216,417 × 216,417
  4. Step 4: Simplify right side
    102,033x = 46,836,317,889
  5. Step 5: Solve for x
    x = 46,836,317,889/102,033
  6. Step 6: Final answer
    x = 459,031.08

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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.