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Finding the Third Proportional to 248,450,958 and 538,308,108

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Solution

The third proportional to 248,450,958 and 538,308,108 is: 1,166,329,248.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,450,958 : 538,308,108 = 538,308,108 : x
  2. Step 2: Convert to fraction form
    248,450,958/538,308,108 = 538,308,108/x
  3. Step 3: Cross multiply
    248,450,958x = 538,308,108 × 538,308,108
  4. Step 4: Simplify right side
    248,450,958x = 289,775,619,138,539,648
  5. Step 5: Solve for x
    x = 289,775,619,138,539,648/248,450,958
  6. Step 6: Final answer
    x = 1,166,329,248.52

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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.