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Finding the Third Proportional to 158,366,913 and 331,213,386

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Solution

The third proportional to 158,366,913 and 331,213,386 is: 692,709,764.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,366,913 : 331,213,386 = 331,213,386 : x
  2. Step 2: Convert to fraction form
    158,366,913/331,213,386 = 331,213,386/x
  3. Step 3: Cross multiply
    158,366,913x = 331,213,386 × 331,213,386
  4. Step 4: Simplify right side
    158,366,913x = 109,702,307,065,584,992
  5. Step 5: Solve for x
    x = 109,702,307,065,584,992/158,366,913
  6. Step 6: Final answer
    x = 692,709,764.86

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.