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Finding the Third Proportional to 98,036.50 and 214,729

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Solution

The third proportional to 98,036.50 and 214,729 is: 470,320.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,036.50 : 214,729 = 214,729 : x
  2. Step 2: Convert to fraction form
    98,036.50/214,729 = 214,729/x
  3. Step 3: Cross multiply
    98,036.50x = 214,729 × 214,729
  4. Step 4: Simplify right side
    98,036.50x = 46,108,543,441
  5. Step 5: Solve for x
    x = 46,108,543,441/98,036.50
  6. Step 6: Final answer
    x = 470,320.17

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Why These Related Problems?

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