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Finding the Third Proportional to 203,755,365.84 and 317,739,920.06

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Solution

The third proportional to 203,755,365.84 and 317,739,920.06 is: 495,489,561.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,755,365.84 : 317,739,920.06 = 317,739,920.06 : x
  2. Step 2: Convert to fraction form
    203,755,365.84/317,739,920.06 = 317,739,920.06/x
  3. Step 3: Cross multiply
    203,755,365.84x = 317,739,920.06 × 317,739,920.06
  4. Step 4: Simplify right side
    203,755,365.84x = 100,958,656,801,323,888
  5. Step 5: Solve for x
    x = 100,958,656,801,323,888/203,755,365.84
  6. Step 6: Final answer
    x = 495,489,561.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.