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Finding the Third Proportional to 176,994,814,250 and 389,293,320,550

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Solution

The third proportional to 176,994,814,250 and 389,293,320,550 is: 856,235,760,731.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,994,814,250 : 389,293,320,550 = 389,293,320,550 : x
  2. Step 2: Convert to fraction form
    176,994,814,250/389,293,320,550 = 389,293,320,550/x
  3. Step 3: Cross multiply
    176,994,814,250x = 389,293,320,550 × 389,293,320,550
  4. Step 4: Simplify right side
    176,994,814,250x = 151,549,289,424,845,046,546,432
  5. Step 5: Solve for x
    x = 151,549,289,424,845,046,546,432/176,994,814,250
  6. Step 6: Final answer
    x = 856,235,760,731.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.