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Finding the Third Proportional to 205,325,472 and 456,558,492

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Solution

The third proportional to 205,325,472 and 456,558,492 is: 1,015,196,286.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,325,472 : 456,558,492 = 456,558,492 : x
  2. Step 2: Convert to fraction form
    205,325,472/456,558,492 = 456,558,492/x
  3. Step 3: Cross multiply
    205,325,472x = 456,558,492 × 456,558,492
  4. Step 4: Simplify right side
    205,325,472x = 208,445,656,617,314,048
  5. Step 5: Solve for x
    x = 208,445,656,617,314,048/205,325,472
  6. Step 6: Final answer
    x = 1,015,196,286.11

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Why These Related Problems?

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