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Finding the Third Proportional to 223,388,290,207.50 and 313,457,993,048.25

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Solution

The third proportional to 223,388,290,207.50 and 313,457,993,048.25 is: 439,843,616,308.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,388,290,207.50 : 313,457,993,048.25 = 313,457,993,048.25 : x
  2. Step 2: Convert to fraction form
    223,388,290,207.50/313,457,993,048.25 = 313,457,993,048.25/x
  3. Step 3: Cross multiply
    223,388,290,207.50x = 313,457,993,048.25 × 313,457,993,048.25
  4. Step 4: Simplify right side
    223,388,290,207.50x = 98,255,913,405,836,748,128,256
  5. Step 5: Solve for x
    x = 98,255,913,405,836,748,128,256/223,388,290,207.50
  6. Step 6: Final answer
    x = 439,843,616,308.49

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