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Finding the Third Proportional to 45,066.38 and 97,534.13

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Solution

The third proportional to 45,066.38 and 97,534.13 is: 211,086.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,066.38 : 97,534.13 = 97,534.13 : x
  2. Step 2: Convert to fraction form
    45,066.38/97,534.13 = 97,534.13/x
  3. Step 3: Cross multiply
    45,066.38x = 97,534.13 × 97,534.13
  4. Step 4: Simplify right side
    45,066.38x = 9,512,905,539.52
  5. Step 5: Solve for x
    x = 9,512,905,539.52/45,066.38
  6. Step 6: Final answer
    x = 211,086.55

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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.