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Finding the Third Proportional to 162,950,697 and 349,199,748

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Solution

The third proportional to 162,950,697 and 349,199,748 is: 748,327,354.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,950,697 : 349,199,748 = 349,199,748 : x
  2. Step 2: Convert to fraction form
    162,950,697/349,199,748 = 349,199,748/x
  3. Step 3: Cross multiply
    162,950,697x = 349,199,748 × 349,199,748
  4. Step 4: Simplify right side
    162,950,697x = 121,940,464,003,263,504
  5. Step 5: Solve for x
    x = 121,940,464,003,263,504/162,950,697
  6. Step 6: Final answer
    x = 748,327,354.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.