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Finding the Third Proportional to 154,089,255 and 329,996,202

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Solution

The third proportional to 154,089,255 and 329,996,202 is: 706,716,982.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,089,255 : 329,996,202 = 329,996,202 : x
  2. Step 2: Convert to fraction form
    154,089,255/329,996,202 = 329,996,202/x
  3. Step 3: Cross multiply
    154,089,255x = 329,996,202 × 329,996,202
  4. Step 4: Simplify right side
    154,089,255x = 108,897,493,334,424,800
  5. Step 5: Solve for x
    x = 108,897,493,334,424,800/154,089,255
  6. Step 6: Final answer
    x = 706,716,982.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.