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Finding the Third Proportional to 220,845,192 and 478,495,896

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Solution

The third proportional to 220,845,192 and 478,495,896 is: 1,036,736,731.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,845,192 : 478,495,896 = 478,495,896 : x
  2. Step 2: Convert to fraction form
    220,845,192/478,495,896 = 478,495,896/x
  3. Step 3: Cross multiply
    220,845,192x = 478,495,896 × 478,495,896
  4. Step 4: Simplify right side
    220,845,192x = 228,958,322,488,842,816
  5. Step 5: Solve for x
    x = 228,958,322,488,842,816/220,845,192
  6. Step 6: Final answer
    x = 1,036,736,731.35

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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.