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Finding the Third Proportional to 98,911.13 and 145,081.13

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Solution

The third proportional to 98,911.13 and 145,081.13 is: 212,802.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,911.13 : 145,081.13 = 145,081.13 : x
  2. Step 2: Convert to fraction form
    98,911.13/145,081.13 = 145,081.13/x
  3. Step 3: Cross multiply
    98,911.13x = 145,081.13 × 145,081.13
  4. Step 4: Simplify right side
    98,911.13x = 21,048,532,831.27
  5. Step 5: Solve for x
    x = 21,048,532,831.27/98,911.13
  6. Step 6: Final answer
    x = 212,802.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.