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Finding the Third Proportional to 42,246,069.75 and 90,555,313.50

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Solution

The third proportional to 42,246,069.75 and 90,555,313.50 is: 194,107,164.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,246,069.75 : 90,555,313.50 = 90,555,313.50 : x
  2. Step 2: Convert to fraction form
    42,246,069.75/90,555,313.50 = 90,555,313.50/x
  3. Step 3: Cross multiply
    42,246,069.75x = 90,555,313.50 × 90,555,313.50
  4. Step 4: Simplify right side
    42,246,069.75x = 8,200,264,803,083,282
  5. Step 5: Solve for x
    x = 8,200,264,803,083,282/42,246,069.75
  6. Step 6: Final answer
    x = 194,107,164.33

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.