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Finding the Third Proportional to 221,851,944 and 346,208,436

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Solution

The third proportional to 221,851,944 and 346,208,436 is: 540,271,493.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,851,944 : 346,208,436 = 346,208,436 : x
  2. Step 2: Convert to fraction form
    221,851,944/346,208,436 = 346,208,436/x
  3. Step 3: Cross multiply
    221,851,944x = 346,208,436 × 346,208,436
  4. Step 4: Simplify right side
    221,851,944x = 119,860,281,157,566,096
  5. Step 5: Solve for x
    x = 119,860,281,157,566,096/221,851,944
  6. Step 6: Final answer
    x = 540,271,493.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.