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Finding the Third Proportional to 98,965.13 and 233,389.13

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Solution

The third proportional to 98,965.13 and 233,389.13 is: 550,400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,965.13 : 233,389.13 = 233,389.13 : x
  2. Step 2: Convert to fraction form
    98,965.13/233,389.13 = 233,389.13/x
  3. Step 3: Cross multiply
    98,965.13x = 233,389.13 × 233,389.13
  4. Step 4: Simplify right side
    98,965.13x = 54,470,483,668.27
  5. Step 5: Solve for x
    x = 54,470,483,668.27/98,965.13
  6. Step 6: Final answer
    x = 550,400.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.