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Finding the Third Proportional to 211,725,871 and 458,626,493

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Solution

The third proportional to 211,725,871 and 458,626,493 is: 993,446,191.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,725,871 : 458,626,493 = 458,626,493 : x
  2. Step 2: Convert to fraction form
    211,725,871/458,626,493 = 458,626,493/x
  3. Step 3: Cross multiply
    211,725,871x = 458,626,493 × 458,626,493
  4. Step 4: Simplify right side
    211,725,871x = 210,338,260,081,479,040
  5. Step 5: Solve for x
    x = 210,338,260,081,479,040/211,725,871
  6. Step 6: Final answer
    x = 993,446,191.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.