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Finding the Third Proportional to 222,103,979,604 and 338,360,049,630

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Solution

The third proportional to 222,103,979,604 and 338,360,049,630 is: 515,468,130,691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,103,979,604 : 338,360,049,630 = 338,360,049,630 : x
  2. Step 2: Convert to fraction form
    222,103,979,604/338,360,049,630 = 338,360,049,630/x
  3. Step 3: Cross multiply
    222,103,979,604x = 338,360,049,630 × 338,360,049,630
  4. Step 4: Simplify right side
    222,103,979,604x = 114,487,523,185,616,071,163,904
  5. Step 5: Solve for x
    x = 114,487,523,185,616,071,163,904/222,103,979,604
  6. Step 6: Final answer
    x = 515,468,130,691.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.