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Finding the Third Proportional to 211,725,864 and 458,626,480

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Solution

The third proportional to 211,725,864 and 458,626,480 is: 993,446,167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,725,864 : 458,626,480 = 458,626,480 : x
  2. Step 2: Convert to fraction form
    211,725,864/458,626,480 = 458,626,480/x
  3. Step 3: Cross multiply
    211,725,864x = 458,626,480 × 458,626,480
  4. Step 4: Simplify right side
    211,725,864x = 210,338,248,157,190,400
  5. Step 5: Solve for x
    x = 210,338,248,157,190,400/211,725,864
  6. Step 6: Final answer
    x = 993,446,167.53

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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.