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Finding the Third Proportional to 248,227,021 and 540,086,134

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Solution

The third proportional to 248,227,021 and 540,086,134 is: 1,175,105,880.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,227,021 : 540,086,134 = 540,086,134 : x
  2. Step 2: Convert to fraction form
    248,227,021/540,086,134 = 540,086,134/x
  3. Step 3: Cross multiply
    248,227,021x = 540,086,134 × 540,086,134
  4. Step 4: Simplify right side
    248,227,021x = 291,693,032,139,065,984
  5. Step 5: Solve for x
    x = 291,693,032,139,065,984/248,227,021
  6. Step 6: Final answer
    x = 1,175,105,880.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.