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Finding the Third Proportional to 220,845,196 and 478,495,904

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Solution

The third proportional to 220,845,196 and 478,495,904 is: 1,036,736,747.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,845,196 : 478,495,904 = 478,495,904 : x
  2. Step 2: Convert to fraction form
    220,845,196/478,495,904 = 478,495,904/x
  3. Step 3: Cross multiply
    220,845,196x = 478,495,904 × 478,495,904
  4. Step 4: Simplify right side
    220,845,196x = 228,958,330,144,777,216
  5. Step 5: Solve for x
    x = 228,958,330,144,777,216/220,845,196
  6. Step 6: Final answer
    x = 1,036,736,747.24

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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.