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Finding the Third Proportional to 138,453,852 and 295,442,448

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Solution

The third proportional to 138,453,852 and 295,442,448 is: 630,435,620.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,453,852 : 295,442,448 = 295,442,448 : x
  2. Step 2: Convert to fraction form
    138,453,852/295,442,448 = 295,442,448/x
  3. Step 3: Cross multiply
    138,453,852x = 295,442,448 × 295,442,448
  4. Step 4: Simplify right side
    138,453,852x = 87,286,240,080,232,704
  5. Step 5: Solve for x
    x = 87,286,240,080,232,704/138,453,852
  6. Step 6: Final answer
    x = 630,435,620.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.