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Finding the Third Proportional to 314,505,220 and 476,155,158

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Solution

The third proportional to 314,505,220 and 476,155,158 is: 720,890,211.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,505,220 : 476,155,158 = 476,155,158 : x
  2. Step 2: Convert to fraction form
    314,505,220/476,155,158 = 476,155,158/x
  3. Step 3: Cross multiply
    314,505,220x = 476,155,158 × 476,155,158
  4. Step 4: Simplify right side
    314,505,220x = 226,723,734,490,004,960
  5. Step 5: Solve for x
    x = 226,723,734,490,004,960/314,505,220
  6. Step 6: Final answer
    x = 720,890,211.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.