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Finding the Third Proportional to 206,763,027 and 320,114,668.50

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Solution

The third proportional to 206,763,027 and 320,114,668.50 is: 495,607,955.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,763,027 : 320,114,668.50 = 320,114,668.50 : x
  2. Step 2: Convert to fraction form
    206,763,027/320,114,668.50 = 320,114,668.50/x
  3. Step 3: Cross multiply
    206,763,027x = 320,114,668.50 × 320,114,668.50
  4. Step 4: Simplify right side
    206,763,027x = 102,473,400,988,864,896
  5. Step 5: Solve for x
    x = 102,473,400,988,864,896/206,763,027
  6. Step 6: Final answer
    x = 495,607,955.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.