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Finding the Third Proportional to 219,655,184 and 481,510,720

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Solution

The third proportional to 219,655,184 and 481,510,720 is: 1,055,529,713.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,655,184 : 481,510,720 = 481,510,720 : x
  2. Step 2: Convert to fraction form
    219,655,184/481,510,720 = 481,510,720/x
  3. Step 3: Cross multiply
    219,655,184x = 481,510,720 × 481,510,720
  4. Step 4: Simplify right side
    219,655,184x = 231,852,573,474,918,400
  5. Step 5: Solve for x
    x = 231,852,573,474,918,400/219,655,184
  6. Step 6: Final answer
    x = 1,055,529,713.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.