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Finding the Third Proportional to 203,828,213 and 311,670,388

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Solution

The third proportional to 203,828,213 and 311,670,388 is: 476,570,094.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,828,213 : 311,670,388 = 311,670,388 : x
  2. Step 2: Convert to fraction form
    203,828,213/311,670,388 = 311,670,388/x
  3. Step 3: Cross multiply
    203,828,213x = 311,670,388 × 311,670,388
  4. Step 4: Simplify right side
    203,828,213x = 97,138,430,756,070,544
  5. Step 5: Solve for x
    x = 97,138,430,756,070,544/203,828,213
  6. Step 6: Final answer
    x = 476,570,094.62

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.