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Finding the Third Proportional to 98,895 and 153,035.50

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Solution

The third proportional to 98,895 and 153,035.50 is: 236,815.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,895 : 153,035.50 = 153,035.50 : x
  2. Step 2: Convert to fraction form
    98,895/153,035.50 = 153,035.50/x
  3. Step 3: Cross multiply
    98,895x = 153,035.50 × 153,035.50
  4. Step 4: Simplify right side
    98,895x = 23,419,864,260.25
  5. Step 5: Solve for x
    x = 23,419,864,260.25/98,895
  6. Step 6: Final answer
    x = 236,815.45

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.