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Finding the Third Proportional to 100,364.94 and 147,775.19

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Solution

The third proportional to 100,364.94 and 147,775.19 is: 217,581.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,364.94 : 147,775.19 = 147,775.19 : x
  2. Step 2: Convert to fraction form
    100,364.94/147,775.19 = 147,775.19/x
  3. Step 3: Cross multiply
    100,364.94x = 147,775.19 × 147,775.19
  4. Step 4: Simplify right side
    100,364.94x = 21,837,506,040.66
  5. Step 5: Solve for x
    x = 21,837,506,040.66/100,364.94
  6. Step 6: Final answer
    x = 217,581.03

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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.