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Finding the Third Proportional to 251,948,859 and 360,287,266.50

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Solution

The third proportional to 251,948,859 and 360,287,266.50 is: 515,211,360.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,948,859 : 360,287,266.50 = 360,287,266.50 : x
  2. Step 2: Convert to fraction form
    251,948,859/360,287,266.50 = 360,287,266.50/x
  3. Step 3: Cross multiply
    251,948,859x = 360,287,266.50 × 360,287,266.50
  4. Step 4: Simplify right side
    251,948,859x = 129,806,914,402,042,016
  5. Step 5: Solve for x
    x = 129,806,914,402,042,016/251,948,859
  6. Step 6: Final answer
    x = 515,211,360.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.