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Finding the Third Proportional to 211,478,172 and 323,295,640

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Solution

The third proportional to 211,478,172 and 323,295,640 is: 494,235,740.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,478,172 : 323,295,640 = 323,295,640 : x
  2. Step 2: Convert to fraction form
    211,478,172/323,295,640 = 323,295,640/x
  3. Step 3: Cross multiply
    211,478,172x = 323,295,640 × 323,295,640
  4. Step 4: Simplify right side
    211,478,172x = 104,520,070,843,009,600
  5. Step 5: Solve for x
    x = 104,520,070,843,009,600/211,478,172
  6. Step 6: Final answer
    x = 494,235,740.05

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.