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Finding the Third Proportional to 103,817,172 and 224,048,916

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Solution

The third proportional to 103,817,172 and 224,048,916 is: 483,522,290.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,817,172 : 224,048,916 = 224,048,916 : x
  2. Step 2: Convert to fraction form
    103,817,172/224,048,916 = 224,048,916/x
  3. Step 3: Cross multiply
    103,817,172x = 224,048,916 × 224,048,916
  4. Step 4: Simplify right side
    103,817,172x = 50,197,916,760,775,056
  5. Step 5: Solve for x
    x = 50,197,916,760,775,056/103,817,172
  6. Step 6: Final answer
    x = 483,522,290.13

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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.