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Finding the Third Proportional to 103,914.25 and 224,053

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Solution

The third proportional to 103,914.25 and 224,053 is: 483,088.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,914.25 : 224,053 = 224,053 : x
  2. Step 2: Convert to fraction form
    103,914.25/224,053 = 224,053/x
  3. Step 3: Cross multiply
    103,914.25x = 224,053 × 224,053
  4. Step 4: Simplify right side
    103,914.25x = 50,199,746,809
  5. Step 5: Solve for x
    x = 50,199,746,809/103,914.25
  6. Step 6: Final answer
    x = 483,088.19

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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.