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Finding the Third Proportional to 159,788,323 and 343,845,778

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Solution

The third proportional to 159,788,323 and 343,845,778 is: 739,915,888.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,788,323 : 343,845,778 = 343,845,778 : x
  2. Step 2: Convert to fraction form
    159,788,323/343,845,778 = 343,845,778/x
  3. Step 3: Cross multiply
    159,788,323x = 343,845,778 × 343,845,778
  4. Step 4: Simplify right side
    159,788,323x = 118,229,919,048,425,280
  5. Step 5: Solve for x
    x = 118,229,919,048,425,280/159,788,323
  6. Step 6: Final answer
    x = 739,915,888.90

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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.