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Finding the Third Proportional to 45,199.58 and 97,201.48

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Solution

The third proportional to 45,199.58 and 97,201.48 is: 209,031.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,199.58 : 97,201.48 = 97,201.48 : x
  2. Step 2: Convert to fraction form
    45,199.58/97,201.48 = 97,201.48/x
  3. Step 3: Cross multiply
    45,199.58x = 97,201.48 × 97,201.48
  4. Step 4: Simplify right side
    45,199.58x = 9,448,127,045.93
  5. Step 5: Solve for x
    x = 9,448,127,045.93/45,199.58
  6. Step 6: Final answer
    x = 209,031.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.