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Finding the Third Proportional to 45,440 and 97,456

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Solution

The third proportional to 45,440 and 97,456 is: 209,015.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,440 : 97,456 = 97,456 : x
  2. Step 2: Convert to fraction form
    45,440/97,456 = 97,456/x
  3. Step 3: Cross multiply
    45,440x = 97,456 × 97,456
  4. Step 4: Simplify right side
    45,440x = 9,497,671,936
  5. Step 5: Solve for x
    x = 9,497,671,936/45,440
  6. Step 6: Final answer
    x = 209,015.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.