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Finding the Third Proportional to 138,163,094 and 297,848,452

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Solution

The third proportional to 138,163,094 and 297,848,452 is: 642,094,048.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,163,094 : 297,848,452 = 297,848,452 : x
  2. Step 2: Convert to fraction form
    138,163,094/297,848,452 = 297,848,452/x
  3. Step 3: Cross multiply
    138,163,094x = 297,848,452 × 297,848,452
  4. Step 4: Simplify right side
    138,163,094x = 88,713,700,358,796,304
  5. Step 5: Solve for x
    x = 88,713,700,358,796,304/138,163,094
  6. Step 6: Final answer
    x = 642,094,048.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.