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Finding the Third Proportional to 225,602,200 and 494,751,944

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Solution

The third proportional to 225,602,200 and 494,751,944 is: 1,085,004,871.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,602,200 : 494,751,944 = 494,751,944 : x
  2. Step 2: Convert to fraction form
    225,602,200/494,751,944 = 494,751,944/x
  3. Step 3: Cross multiply
    225,602,200x = 494,751,944 × 494,751,944
  4. Step 4: Simplify right side
    225,602,200x = 244,779,486,091,779,136
  5. Step 5: Solve for x
    x = 244,779,486,091,779,136/225,602,200
  6. Step 6: Final answer
    x = 1,085,004,871.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.