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Finding the Third Proportional to 205,385,058 and 456,691,284

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Solution

The third proportional to 205,385,058 and 456,691,284 is: 1,015,492,221.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,385,058 : 456,691,284 = 456,691,284 : x
  2. Step 2: Convert to fraction form
    205,385,058/456,691,284 = 456,691,284/x
  3. Step 3: Cross multiply
    205,385,058x = 456,691,284 × 456,691,284
  4. Step 4: Simplify right side
    205,385,058x = 208,566,928,881,568,640
  5. Step 5: Solve for x
    x = 208,566,928,881,568,640/205,385,058
  6. Step 6: Final answer
    x = 1,015,492,221.84

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.