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Finding the Third Proportional to 176,771,456 and 416,699,480

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Solution

The third proportional to 176,771,456 and 416,699,480 is: 982,276,553.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,771,456 : 416,699,480 = 416,699,480 : x
  2. Step 2: Convert to fraction form
    176,771,456/416,699,480 = 416,699,480/x
  3. Step 3: Cross multiply
    176,771,456x = 416,699,480 × 416,699,480
  4. Step 4: Simplify right side
    176,771,456x = 173,638,456,632,270,400
  5. Step 5: Solve for x
    x = 173,638,456,632,270,400/176,771,456
  6. Step 6: Final answer
    x = 982,276,553.93

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.