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Finding the Third Proportional to 98,902 and 155,035.50

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Solution

The third proportional to 98,902 and 155,035.50 is: 243,028.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,902 : 155,035.50 = 155,035.50 : x
  2. Step 2: Convert to fraction form
    98,902/155,035.50 = 155,035.50/x
  3. Step 3: Cross multiply
    98,902x = 155,035.50 × 155,035.50
  4. Step 4: Simplify right side
    98,902x = 24,036,006,260.25
  5. Step 5: Solve for x
    x = 24,036,006,260.25/98,902
  6. Step 6: Final answer
    x = 243,028.52

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.