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Finding the Third Proportional to 306,295,101 and 463,089,534.75

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Solution

The third proportional to 306,295,101 and 463,089,534.75 is: 700,148,048.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,295,101 : 463,089,534.75 = 463,089,534.75 : x
  2. Step 2: Convert to fraction form
    306,295,101/463,089,534.75 = 463,089,534.75/x
  3. Step 3: Cross multiply
    306,295,101x = 463,089,534.75 × 463,089,534.75
  4. Step 4: Simplify right side
    306,295,101x = 214,451,917,194,971,456
  5. Step 5: Solve for x
    x = 214,451,917,194,971,456/306,295,101
  6. Step 6: Final answer
    x = 700,148,048.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.