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Finding the Third Proportional to 200,355,353,408 and 436,710,740,800

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Solution

The third proportional to 200,355,353,408 and 436,710,740,800 is: 951,890,068,750.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,355,353,408 : 436,710,740,800 = 436,710,740,800 : x
  2. Step 2: Convert to fraction form
    200,355,353,408/436,710,740,800 = 436,710,740,800/x
  3. Step 3: Cross multiply
    200,355,353,408x = 436,710,740,800 × 436,710,740,800
  4. Step 4: Simplify right side
    200,355,353,408x = 190,716,271,130,084,785,520,640
  5. Step 5: Solve for x
    x = 190,716,271,130,084,785,520,640/200,355,353,408
  6. Step 6: Final answer
    x = 951,890,068,750.57

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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.