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Finding the Third Proportional to 237,430,131.75 and 515,732,512.50

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Solution

The third proportional to 237,430,131.75 and 515,732,512.50 is: 1,120,245,448.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,430,131.75 : 515,732,512.50 = 515,732,512.50 : x
  2. Step 2: Convert to fraction form
    237,430,131.75/515,732,512.50 = 515,732,512.50/x
  3. Step 3: Cross multiply
    237,430,131.75x = 515,732,512.50 × 515,732,512.50
  4. Step 4: Simplify right side
    237,430,131.75x = 265,980,024,449,562,656
  5. Step 5: Solve for x
    x = 265,980,024,449,562,656/237,430,131.75
  6. Step 6: Final answer
    x = 1,120,245,448.58

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.