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Finding the Third Proportional to 90,784,750 and 188,029,283.50

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Solution

The third proportional to 90,784,750 and 188,029,283.50 is: 389,437,779.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,784,750 : 188,029,283.50 = 188,029,283.50 : x
  2. Step 2: Convert to fraction form
    90,784,750/188,029,283.50 = 188,029,283.50/x
  3. Step 3: Cross multiply
    90,784,750x = 188,029,283.50 × 188,029,283.50
  4. Step 4: Simplify right side
    90,784,750x = 35,355,011,453,523,372
  5. Step 5: Solve for x
    x = 35,355,011,453,523,372/90,784,750
  6. Step 6: Final answer
    x = 389,437,779.51

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.