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Finding the Third Proportional to 221,852,010 and 346,208,538

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Solution

The third proportional to 221,852,010 and 346,208,538 is: 540,271,651.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,852,010 : 346,208,538 = 346,208,538 : x
  2. Step 2: Convert to fraction form
    221,852,010/346,208,538 = 346,208,538/x
  3. Step 3: Cross multiply
    221,852,010x = 346,208,538 × 346,208,538
  4. Step 4: Simplify right side
    221,852,010x = 119,860,351,784,097,440
  5. Step 5: Solve for x
    x = 119,860,351,784,097,440/221,852,010
  6. Step 6: Final answer
    x = 540,271,651.29

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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.