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Finding the Third Proportional to 40,428 and 88,630

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Solution

The third proportional to 40,428 and 88,630 is: 194,302.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,428 : 88,630 = 88,630 : x
  2. Step 2: Convert to fraction form
    40,428/88,630 = 88,630/x
  3. Step 3: Cross multiply
    40,428x = 88,630 × 88,630
  4. Step 4: Simplify right side
    40,428x = 7,855,276,900
  5. Step 5: Solve for x
    x = 7,855,276,900/40,428
  6. Step 6: Final answer
    x = 194,302.88

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.