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Finding the Third Proportional to 306,295,103 and 463,089,538

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Solution

The third proportional to 306,295,103 and 463,089,538 is: 700,148,053.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,295,103 : 463,089,538 = 463,089,538 : x
  2. Step 2: Convert to fraction form
    306,295,103/463,089,538 = 463,089,538/x
  3. Step 3: Cross multiply
    306,295,103x = 463,089,538 × 463,089,538
  4. Step 4: Simplify right side
    306,295,103x = 214,451,920,205,053,440
  5. Step 5: Solve for x
    x = 214,451,920,205,053,440/306,295,103
  6. Step 6: Final answer
    x = 700,148,053.64

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Why These Related Problems?

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