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Finding the Third Proportional to 70,485.38 and 147,890.25

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Solution

The third proportional to 70,485.38 and 147,890.25 is: 310,298.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,485.38 : 147,890.25 = 147,890.25 : x
  2. Step 2: Convert to fraction form
    70,485.38/147,890.25 = 147,890.25/x
  3. Step 3: Cross multiply
    70,485.38x = 147,890.25 × 147,890.25
  4. Step 4: Simplify right side
    70,485.38x = 21,871,526,045.06
  5. Step 5: Solve for x
    x = 21,871,526,045.06/70,485.38
  6. Step 6: Final answer
    x = 310,298.78

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.