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Finding the Third Proportional to 254,397,188 and 549,081,832

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Solution

The third proportional to 254,397,188 and 549,081,832 is: 1,185,118,674.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,397,188 : 549,081,832 = 549,081,832 : x
  2. Step 2: Convert to fraction form
    254,397,188/549,081,832 = 549,081,832/x
  3. Step 3: Cross multiply
    254,397,188x = 549,081,832 × 549,081,832
  4. Step 4: Simplify right side
    254,397,188x = 301,490,858,232,476,224
  5. Step 5: Solve for x
    x = 301,490,858,232,476,224/254,397,188
  6. Step 6: Final answer
    x = 1,185,118,674.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.