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Finding the Third Proportional to 480,194,196 and 1,033,189,248

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Solution

The third proportional to 480,194,196 and 1,033,189,248 is: 2,223,017,335.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,194,196 : 1,033,189,248 = 1,033,189,248 : x
  2. Step 2: Convert to fraction form
    480,194,196/1,033,189,248 = 1,033,189,248/x
  3. Step 3: Cross multiply
    480,194,196x = 1,033,189,248 × 1,033,189,248
  4. Step 4: Simplify right side
    480,194,196x = 1,067,480,022,182,805,504
  5. Step 5: Solve for x
    x = 1,067,480,022,182,805,504/480,194,196
  6. Step 6: Final answer
    x = 2,223,017,335.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.