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Finding the Third Proportional to 191,587,980 and 419,446,781

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Solution

The third proportional to 191,587,980 and 419,446,781 is: 918,301,879.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,587,980 : 419,446,781 = 419,446,781 : x
  2. Step 2: Convert to fraction form
    191,587,980/419,446,781 = 419,446,781/x
  3. Step 3: Cross multiply
    191,587,980x = 419,446,781 × 419,446,781
  4. Step 4: Simplify right side
    191,587,980x = 175,935,602,091,261,952
  5. Step 5: Solve for x
    x = 175,935,602,091,261,952/191,587,980
  6. Step 6: Final answer
    x = 918,301,879.33

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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.