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Finding the Third Proportional to 223,388,290,210 and 313,457,993,051

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Solution

The third proportional to 223,388,290,210 and 313,457,993,051 is: 439,843,616,311.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,388,290,210 : 313,457,993,051 = 313,457,993,051 : x
  2. Step 2: Convert to fraction form
    223,388,290,210/313,457,993,051 = 313,457,993,051/x
  3. Step 3: Cross multiply
    223,388,290,210x = 313,457,993,051 × 313,457,993,051
  4. Step 4: Simplify right side
    223,388,290,210x = 98,255,913,407,560,758,067,200
  5. Step 5: Solve for x
    x = 98,255,913,407,560,758,067,200/223,388,290,210
  6. Step 6: Final answer
    x = 439,843,616,311.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.