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Finding the Third Proportional to 97,112 and 212,237

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Solution

The third proportional to 97,112 and 212,237 is: 463,841.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,112 : 212,237 = 212,237 : x
  2. Step 2: Convert to fraction form
    97,112/212,237 = 212,237/x
  3. Step 3: Cross multiply
    97,112x = 212,237 × 212,237
  4. Step 4: Simplify right side
    97,112x = 45,044,544,169
  5. Step 5: Solve for x
    x = 45,044,544,169/97,112
  6. Step 6: Final answer
    x = 463,841.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.