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Finding the Third Proportional to 191,587,922 and 419,446,671

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Solution

The third proportional to 191,587,922 and 419,446,671 is: 918,301,675.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,587,922 : 419,446,671 = 419,446,671 : x
  2. Step 2: Convert to fraction form
    191,587,922/419,446,671 = 419,446,671/x
  3. Step 3: Cross multiply
    191,587,922x = 419,446,671 × 419,446,671
  4. Step 4: Simplify right side
    191,587,922x = 175,935,509,812,982,240
  5. Step 5: Solve for x
    x = 175,935,509,812,982,240/191,587,922
  6. Step 6: Final answer
    x = 918,301,675.68

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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.