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Finding the Third Proportional to 90,842,084 and 199,271,391

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Solution

The third proportional to 90,842,084 and 199,271,391 is: 437,122,152.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,842,084 : 199,271,391 = 199,271,391 : x
  2. Step 2: Convert to fraction form
    90,842,084/199,271,391 = 199,271,391/x
  3. Step 3: Cross multiply
    90,842,084x = 199,271,391 × 199,271,391
  4. Step 4: Simplify right side
    90,842,084x = 39,709,087,271,074,880
  5. Step 5: Solve for x
    x = 39,709,087,271,074,880/90,842,084
  6. Step 6: Final answer
    x = 437,122,152.23

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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.