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Finding the Third Proportional to 92,356,914 and 200,789,511

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Solution

The third proportional to 92,356,914 and 200,789,511 is: 436,528,528.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,356,914 : 200,789,511 = 200,789,511 : x
  2. Step 2: Convert to fraction form
    92,356,914/200,789,511 = 200,789,511/x
  3. Step 3: Cross multiply
    92,356,914x = 200,789,511 × 200,789,511
  4. Step 4: Simplify right side
    92,356,914x = 40,316,427,727,619,120
  5. Step 5: Solve for x
    x = 40,316,427,727,619,120/92,356,914
  6. Step 6: Final answer
    x = 436,528,528.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.