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Finding the Third Proportional to 92,356,909.50 and 200,789,500.50

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Solution

The third proportional to 92,356,909.50 and 200,789,500.50 is: 436,528,503.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,356,909.50 : 200,789,500.50 = 200,789,500.50 : x
  2. Step 2: Convert to fraction form
    92,356,909.50/200,789,500.50 = 200,789,500.50/x
  3. Step 3: Cross multiply
    92,356,909.50x = 200,789,500.50 × 200,789,500.50
  4. Step 4: Simplify right side
    92,356,909.50x = 40,316,423,511,039,504
  5. Step 5: Solve for x
    x = 40,316,423,511,039,504/92,356,909.50
  6. Step 6: Final answer
    x = 436,528,503.71

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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.