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Finding the Third Proportional to 138,539,180 and 301,191,844

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Solution

The third proportional to 138,539,180 and 301,191,844 is: 654,807,736.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,539,180 : 301,191,844 = 301,191,844 : x
  2. Step 2: Convert to fraction form
    138,539,180/301,191,844 = 301,191,844/x
  3. Step 3: Cross multiply
    138,539,180x = 301,191,844 × 301,191,844
  4. Step 4: Simplify right side
    138,539,180x = 90,716,526,892,120,336
  5. Step 5: Solve for x
    x = 90,716,526,892,120,336/138,539,180
  6. Step 6: Final answer
    x = 654,807,736.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.