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Finding the Third Proportional to 240,289,029.50 and 372,239,258.25

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Solution

The third proportional to 240,289,029.50 and 372,239,258.25 is: 576,647,488.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,289,029.50 : 372,239,258.25 = 372,239,258.25 : x
  2. Step 2: Convert to fraction form
    240,289,029.50/372,239,258.25 = 372,239,258.25/x
  3. Step 3: Cross multiply
    240,289,029.50x = 372,239,258.25 × 372,239,258.25
  4. Step 4: Simplify right side
    240,289,029.50x = 138,562,065,382,510,192
  5. Step 5: Solve for x
    x = 138,562,065,382,510,192/240,289,029.50
  6. Step 6: Final answer
    x = 576,647,488.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.