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Finding the Third Proportional to 130,280,463 and 198,477,180

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Solution

The third proportional to 130,280,463 and 198,477,180 is: 302,372,205.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,280,463 : 198,477,180 = 198,477,180 : x
  2. Step 2: Convert to fraction form
    130,280,463/198,477,180 = 198,477,180/x
  3. Step 3: Cross multiply
    130,280,463x = 198,477,180 × 198,477,180
  4. Step 4: Simplify right side
    130,280,463x = 39,393,190,980,752,400
  5. Step 5: Solve for x
    x = 39,393,190,980,752,400/130,280,463
  6. Step 6: Final answer
    x = 302,372,205.88

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.