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Finding the Third Proportional to 245,157,498,058.50 and 345,085,341,194.25

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Solution

The third proportional to 245,157,498,058.50 and 345,085,341,194.25 is: 485,744,444,490.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,157,498,058.50 : 345,085,341,194.25 = 345,085,341,194.25 : x
  2. Step 2: Convert to fraction form
    245,157,498,058.50/345,085,341,194.25 = 345,085,341,194.25/x
  3. Step 3: Cross multiply
    245,157,498,058.50x = 345,085,341,194.25 × 345,085,341,194.25
  4. Step 4: Simplify right side
    245,157,498,058.50x = 119,083,892,707,151,929,409,536
  5. Step 5: Solve for x
    x = 119,083,892,707,151,929,409,536/245,157,498,058.50
  6. Step 6: Final answer
    x = 485,744,444,490.68

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.