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Finding the Third Proportional to 221,911,464 and 353,416,242

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Solution

The third proportional to 221,911,464 and 353,416,242 is: 562,850,777.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,911,464 : 353,416,242 = 353,416,242 : x
  2. Step 2: Convert to fraction form
    221,911,464/353,416,242 = 353,416,242/x
  3. Step 3: Cross multiply
    221,911,464x = 353,416,242 × 353,416,242
  4. Step 4: Simplify right side
    221,911,464x = 124,903,040,109,402,560
  5. Step 5: Solve for x
    x = 124,903,040,109,402,560/221,911,464
  6. Step 6: Final answer
    x = 562,850,777.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.