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Finding the Third Proportional to 45,820.69 and 97,883.44

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Solution

The third proportional to 45,820.69 and 97,883.44 is: 209,101.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,820.69 : 97,883.44 = 97,883.44 : x
  2. Step 2: Convert to fraction form
    45,820.69/97,883.44 = 97,883.44/x
  3. Step 3: Cross multiply
    45,820.69x = 97,883.44 × 97,883.44
  4. Step 4: Simplify right side
    45,820.69x = 9,581,167,336.82
  5. Step 5: Solve for x
    x = 9,581,167,336.82/45,820.69
  6. Step 6: Final answer
    x = 209,101.34

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1.5x scale

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.