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Finding the Third Proportional to 181,749,071 and 391,211,806

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Solution

The third proportional to 181,749,071 and 391,211,806 is: 842,076,805.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,749,071 : 391,211,806 = 391,211,806 : x
  2. Step 2: Convert to fraction form
    181,749,071/391,211,806 = 391,211,806/x
  3. Step 3: Cross multiply
    181,749,071x = 391,211,806 × 391,211,806
  4. Step 4: Simplify right side
    181,749,071x = 153,046,677,153,781,632
  5. Step 5: Solve for x
    x = 153,046,677,153,781,632/181,749,071
  6. Step 6: Final answer
    x = 842,076,805.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.