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Finding the Third Proportional to 104,655.38 and 220,428

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Solution

The third proportional to 104,655.38 and 220,428 is: 464,271.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,655.38 : 220,428 = 220,428 : x
  2. Step 2: Convert to fraction form
    104,655.38/220,428 = 220,428/x
  3. Step 3: Cross multiply
    104,655.38x = 220,428 × 220,428
  4. Step 4: Simplify right side
    104,655.38x = 48,588,503,184
  5. Step 5: Solve for x
    x = 48,588,503,184/104,655.38
  6. Step 6: Final answer
    x = 464,271.45

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.