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Finding the Third Proportional to 200,355,353,406 and 436,710,740,796

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Solution

The third proportional to 200,355,353,406 and 436,710,740,796 is: 951,890,068,742.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,355,353,406 : 436,710,740,796 = 436,710,740,796 : x
  2. Step 2: Convert to fraction form
    200,355,353,406/436,710,740,796 = 436,710,740,796/x
  3. Step 3: Cross multiply
    200,355,353,406x = 436,710,740,796 × 436,710,740,796
  4. Step 4: Simplify right side
    200,355,353,406x = 190,716,271,126,591,098,060,800
  5. Step 5: Solve for x
    x = 190,716,271,126,591,098,060,800/200,355,353,406
  6. Step 6: Final answer
    x = 951,890,068,742.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.