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Finding the Third Proportional to 98,290 and 231,036.50

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Solution

The third proportional to 98,290 and 231,036.50 is: 543,065.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,290 : 231,036.50 = 231,036.50 : x
  2. Step 2: Convert to fraction form
    98,290/231,036.50 = 231,036.50/x
  3. Step 3: Cross multiply
    98,290x = 231,036.50 × 231,036.50
  4. Step 4: Simplify right side
    98,290x = 53,377,864,332.25
  5. Step 5: Solve for x
    x = 53,377,864,332.25/98,290
  6. Step 6: Final answer
    x = 543,065.06

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.