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Finding the Third Proportional to 143,799,890 and 314,503,012

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Solution

The third proportional to 143,799,890 and 314,503,012 is: 687,845,759.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,799,890 : 314,503,012 = 314,503,012 : x
  2. Step 2: Convert to fraction form
    143,799,890/314,503,012 = 314,503,012/x
  3. Step 3: Cross multiply
    143,799,890x = 314,503,012 × 314,503,012
  4. Step 4: Simplify right side
    143,799,890x = 98,912,144,557,072,144
  5. Step 5: Solve for x
    x = 98,912,144,557,072,144/143,799,890
  6. Step 6: Final answer
    x = 687,845,759.53

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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.