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Finding the Third Proportional to 306,295,105 and 463,089,541

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Solution

The third proportional to 306,295,105 and 463,089,541 is: 700,148,058.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,295,105 : 463,089,541 = 463,089,541 : x
  2. Step 2: Convert to fraction form
    306,295,105/463,089,541 = 463,089,541/x
  3. Step 3: Cross multiply
    306,295,105x = 463,089,541 × 463,089,541
  4. Step 4: Simplify right side
    306,295,105x = 214,451,922,983,590,688
  5. Step 5: Solve for x
    x = 214,451,922,983,590,688/306,295,105
  6. Step 6: Final answer
    x = 700,148,058.14

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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.