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Finding the Third Proportional to 221,852,014 and 346,208,543

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Solution

The third proportional to 221,852,014 and 346,208,543 is: 540,271,657.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,852,014 : 346,208,543 = 346,208,543 : x
  2. Step 2: Convert to fraction form
    221,852,014/346,208,543 = 346,208,543/x
  3. Step 3: Cross multiply
    221,852,014x = 346,208,543 × 346,208,543
  4. Step 4: Simplify right side
    221,852,014x = 119,860,355,246,182,848
  5. Step 5: Solve for x
    x = 119,860,355,246,182,848/221,852,014
  6. Step 6: Final answer
    x = 540,271,657.15

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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.