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Finding the Third Proportional to 104,262,816 and 224,672,388

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Solution

The third proportional to 104,262,816 and 224,672,388 is: 484,138,870.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,262,816 : 224,672,388 = 224,672,388 : x
  2. Step 2: Convert to fraction form
    104,262,816/224,672,388 = 224,672,388/x
  3. Step 3: Cross multiply
    104,262,816x = 224,672,388 × 224,672,388
  4. Step 4: Simplify right side
    104,262,816x = 50,477,681,929,622,544
  5. Step 5: Solve for x
    x = 50,477,681,929,622,544/104,262,816
  6. Step 6: Final answer
    x = 484,138,870.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.