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Finding the Third Proportional to 138,163,083 and 297,848,433

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Solution

The third proportional to 138,163,083 and 297,848,433 is: 642,094,017.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,163,083 : 297,848,433 = 297,848,433 : x
  2. Step 2: Convert to fraction form
    138,163,083/297,848,433 = 297,848,433/x
  3. Step 3: Cross multiply
    138,163,083x = 297,848,433 × 297,848,433
  4. Step 4: Simplify right side
    138,163,083x = 88,713,689,040,555,488
  5. Step 5: Solve for x
    x = 88,713,689,040,555,488/138,163,083
  6. Step 6: Final answer
    x = 642,094,017.55

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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.