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Finding the Third Proportional to 254,429,032 and 551,106,302

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Solution

The third proportional to 254,429,032 and 551,106,302 is: 1,193,724,449.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,429,032 : 551,106,302 = 551,106,302 : x
  2. Step 2: Convert to fraction form
    254,429,032/551,106,302 = 551,106,302/x
  3. Step 3: Cross multiply
    254,429,032x = 551,106,302 × 551,106,302
  4. Step 4: Simplify right side
    254,429,032x = 303,718,156,104,115,200
  5. Step 5: Solve for x
    x = 303,718,156,104,115,200/254,429,032
  6. Step 6: Final answer
    x = 1,193,724,449.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.