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Finding the Third Proportional to 205,277,160 and 446,691,336

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Solution

The third proportional to 205,277,160 and 446,691,336 is: 972,018,268.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,277,160 : 446,691,336 = 446,691,336 : x
  2. Step 2: Convert to fraction form
    205,277,160/446,691,336 = 446,691,336/x
  3. Step 3: Cross multiply
    205,277,160x = 446,691,336 × 446,691,336
  4. Step 4: Simplify right side
    205,277,160x = 199,533,149,657,464,896
  5. Step 5: Solve for x
    x = 199,533,149,657,464,896/205,277,160
  6. Step 6: Final answer
    x = 972,018,268.65

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.