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Finding the Third Proportional to 103,614.19 and 152,021.81

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Solution

The third proportional to 103,614.19 and 152,021.81 is: 223,045.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,614.19 : 152,021.81 = 152,021.81 : x
  2. Step 2: Convert to fraction form
    103,614.19/152,021.81 = 152,021.81/x
  3. Step 3: Cross multiply
    103,614.19x = 152,021.81 × 152,021.81
  4. Step 4: Simplify right side
    103,614.19x = 23,110,631,475.79
  5. Step 5: Solve for x
    x = 23,110,631,475.79/103,614.19
  6. Step 6: Final answer
    x = 223,045.05

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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.