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Finding the Third Proportional to 221,911,460 and 353,416,236

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Solution

The third proportional to 221,911,460 and 353,416,236 is: 562,850,768.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,911,460 : 353,416,236 = 353,416,236 : x
  2. Step 2: Convert to fraction form
    221,911,460/353,416,236 = 353,416,236/x
  3. Step 3: Cross multiply
    221,911,460x = 353,416,236 × 353,416,236
  4. Step 4: Simplify right side
    221,911,460x = 124,903,035,868,407,696
  5. Step 5: Solve for x
    x = 124,903,035,868,407,696/221,911,460
  6. Step 6: Final answer
    x = 562,850,768.81

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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.