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Finding the Third Proportional to 117,959,672.25 and 258,594,160.50

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Solution

The third proportional to 117,959,672.25 and 258,594,160.50 is: 566,896,622.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,959,672.25 : 258,594,160.50 = 258,594,160.50 : x
  2. Step 2: Convert to fraction form
    117,959,672.25/258,594,160.50 = 258,594,160.50/x
  3. Step 3: Cross multiply
    117,959,672.25x = 258,594,160.50 × 258,594,160.50
  4. Step 4: Simplify right side
    117,959,672.25x = 66,870,939,844,699,760
  5. Step 5: Solve for x
    x = 66,870,939,844,699,760/117,959,672.25
  6. Step 6: Final answer
    x = 566,896,622.97

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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.