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Finding the Third Proportional to 220,845,194 and 478,495,900

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Solution

The third proportional to 220,845,194 and 478,495,900 is: 1,036,736,739.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,845,194 : 478,495,900 = 478,495,900 : x
  2. Step 2: Convert to fraction form
    220,845,194/478,495,900 = 478,495,900/x
  3. Step 3: Cross multiply
    220,845,194x = 478,495,900 × 478,495,900
  4. Step 4: Simplify right side
    220,845,194x = 228,958,326,316,809,984
  5. Step 5: Solve for x
    x = 228,958,326,316,809,984/220,845,194
  6. Step 6: Final answer
    x = 1,036,736,739.30

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