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Finding the Third Proportional to 145,762,584 and 223,515,736

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Solution

The third proportional to 145,762,584 and 223,515,736 is: 342,744,227.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,762,584 : 223,515,736 = 223,515,736 : x
  2. Step 2: Convert to fraction form
    145,762,584/223,515,736 = 223,515,736/x
  3. Step 3: Cross multiply
    145,762,584x = 223,515,736 × 223,515,736
  4. Step 4: Simplify right side
    145,762,584x = 49,959,284,239,621,696
  5. Step 5: Solve for x
    x = 49,959,284,239,621,696/145,762,584
  6. Step 6: Final answer
    x = 342,744,227.42

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.