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Finding the Third Proportional to 213,613,456 and 438,551,196

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Solution

The third proportional to 213,613,456 and 438,551,196 is: 900,351,293.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,613,456 : 438,551,196 = 438,551,196 : x
  2. Step 2: Convert to fraction form
    213,613,456/438,551,196 = 438,551,196/x
  3. Step 3: Cross multiply
    213,613,456x = 438,551,196 × 438,551,196
  4. Step 4: Simplify right side
    213,613,456x = 192,327,151,513,030,400
  5. Step 5: Solve for x
    x = 192,327,151,513,030,400/213,613,456
  6. Step 6: Final answer
    x = 900,351,293.94

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.