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Finding the Third Proportional to 89,830.50 and 195,598

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Solution

The third proportional to 89,830.50 and 195,598 is: 425,897.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,830.50 : 195,598 = 195,598 : x
  2. Step 2: Convert to fraction form
    89,830.50/195,598 = 195,598/x
  3. Step 3: Cross multiply
    89,830.50x = 195,598 × 195,598
  4. Step 4: Simplify right side
    89,830.50x = 38,258,577,604
  5. Step 5: Solve for x
    x = 38,258,577,604/89,830.50
  6. Step 6: Final answer
    x = 425,897.41

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.