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Finding the Third Proportional to 251,948,799 and 360,287,217

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Solution

The third proportional to 251,948,799 and 360,287,217 is: 515,211,341.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,948,799 : 360,287,217 = 360,287,217 : x
  2. Step 2: Convert to fraction form
    251,948,799/360,287,217 = 360,287,217/x
  3. Step 3: Cross multiply
    251,948,799x = 360,287,217 × 360,287,217
  4. Step 4: Simplify right side
    251,948,799x = 129,806,878,733,605,088
  5. Step 5: Solve for x
    x = 129,806,878,733,605,088/251,948,799
  6. Step 6: Final answer
    x = 515,211,341.55

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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.