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Finding the Third Proportional to 45,090.84 and 97,407.56

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Solution

The third proportional to 45,090.84 and 97,407.56 is: 210,424.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,090.84 : 97,407.56 = 97,407.56 : x
  2. Step 2: Convert to fraction form
    45,090.84/97,407.56 = 97,407.56/x
  3. Step 3: Cross multiply
    45,090.84x = 97,407.56 × 97,407.56
  4. Step 4: Simplify right side
    45,090.84x = 9,488,233,232.19
  5. Step 5: Solve for x
    x = 9,488,233,232.19/45,090.84
  6. Step 6: Final answer
    x = 210,424.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.