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Finding the Third Proportional to 90,842,077.50 and 199,271,376.75

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Solution

The third proportional to 90,842,077.50 and 199,271,376.75 is: 437,122,120.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,842,077.50 : 199,271,376.75 = 199,271,376.75 : x
  2. Step 2: Convert to fraction form
    90,842,077.50/199,271,376.75 = 199,271,376.75/x
  3. Step 3: Cross multiply
    90,842,077.50x = 199,271,376.75 × 199,271,376.75
  4. Step 4: Simplify right side
    90,842,077.50x = 39,709,081,591,840,440
  5. Step 5: Solve for x
    x = 39,709,081,591,840,440/90,842,077.50
  6. Step 6: Final answer
    x = 437,122,120.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.