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Finding the Third Proportional to 251,948,853 and 360,287,257.50

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Solution

The third proportional to 251,948,853 and 360,287,257.50 is: 515,211,346.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,948,853 : 360,287,257.50 = 360,287,257.50 : x
  2. Step 2: Convert to fraction form
    251,948,853/360,287,257.50 = 360,287,257.50/x
  3. Step 3: Cross multiply
    251,948,853x = 360,287,257.50 × 360,287,257.50
  4. Step 4: Simplify right side
    251,948,853x = 129,806,907,916,871,312
  5. Step 5: Solve for x
    x = 129,806,907,916,871,312/251,948,853
  6. Step 6: Final answer
    x = 515,211,346.95

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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.