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Finding the Third Proportional to 97,828.13 and 139,565.81

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Solution

The third proportional to 97,828.13 and 139,565.81 is: 199,110.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,828.13 : 139,565.81 = 139,565.81 : x
  2. Step 2: Convert to fraction form
    97,828.13/139,565.81 = 139,565.81/x
  3. Step 3: Cross multiply
    97,828.13x = 139,565.81 × 139,565.81
  4. Step 4: Simplify right side
    97,828.13x = 19,478,616,018.79
  5. Step 5: Solve for x
    x = 19,478,616,018.79/97,828.13
  6. Step 6: Final answer
    x = 199,110.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.