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Finding the Third Proportional to 159,788,284.88 and 343,845,708.75

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Solution

The third proportional to 159,788,284.88 and 343,845,708.75 is: 739,915,767.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,788,284.88 : 343,845,708.75 = 343,845,708.75 : x
  2. Step 2: Convert to fraction form
    159,788,284.88/343,845,708.75 = 343,845,708.75/x
  3. Step 3: Cross multiply
    159,788,284.88x = 343,845,708.75 × 343,845,708.75
  4. Step 4: Simplify right side
    159,788,284.88x = 118,229,871,425,789,824
  5. Step 5: Solve for x
    x = 118,229,871,425,789,824/159,788,284.88
  6. Step 6: Final answer
    x = 739,915,767.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.