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Finding the Third Proportional to 175,268,824 and 272,461,236

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Solution

The third proportional to 175,268,824 and 272,461,236 is: 423,550,083.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,268,824 : 272,461,236 = 272,461,236 : x
  2. Step 2: Convert to fraction form
    175,268,824/272,461,236 = 272,461,236/x
  3. Step 3: Cross multiply
    175,268,824x = 272,461,236 × 272,461,236
  4. Step 4: Simplify right side
    175,268,824x = 74,235,125,122,647,696
  5. Step 5: Solve for x
    x = 74,235,125,122,647,696/175,268,824
  6. Step 6: Final answer
    x = 423,550,083.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.