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Finding the Third Proportional to 103,978.69 and 224,547.19

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Solution

The third proportional to 103,978.69 and 224,547.19 is: 484,920.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,978.69 : 224,547.19 = 224,547.19 : x
  2. Step 2: Convert to fraction form
    103,978.69/224,547.19 = 224,547.19/x
  3. Step 3: Cross multiply
    103,978.69x = 224,547.19 × 224,547.19
  4. Step 4: Simplify right side
    103,978.69x = 50,421,439,414.16
  5. Step 5: Solve for x
    x = 50,421,439,414.16/103,978.69
  6. Step 6: Final answer
    x = 484,920.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.