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Finding the Third Proportional to 40,430 and 88,798

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Solution

The third proportional to 40,430 and 88,798 is: 195,030.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,430 : 88,798 = 88,798 : x
  2. Step 2: Convert to fraction form
    40,430/88,798 = 88,798/x
  3. Step 3: Cross multiply
    40,430x = 88,798 × 88,798
  4. Step 4: Simplify right side
    40,430x = 7,885,084,804
  5. Step 5: Solve for x
    x = 7,885,084,804/40,430
  6. Step 6: Final answer
    x = 195,030.54

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.