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Finding the Third Proportional to 110,655.84 and 237,088.97

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Solution

The third proportional to 110,655.84 and 237,088.97 is: 507,982.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,655.84 : 237,088.97 = 237,088.97 : x
  2. Step 2: Convert to fraction form
    110,655.84/237,088.97 = 237,088.97/x
  3. Step 3: Cross multiply
    110,655.84x = 237,088.97 × 237,088.97
  4. Step 4: Simplify right side
    110,655.84x = 56,211,179,102.94
  5. Step 5: Solve for x
    x = 56,211,179,102.94/110,655.84
  6. Step 6: Final answer
    x = 507,982.02

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