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Finding the Third Proportional to 91,835,448 and 199,812,894

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Solution

The third proportional to 91,835,448 and 199,812,894 is: 434,747,077.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,835,448 : 199,812,894 = 199,812,894 : x
  2. Step 2: Convert to fraction form
    91,835,448/199,812,894 = 199,812,894/x
  3. Step 3: Cross multiply
    91,835,448x = 199,812,894 × 199,812,894
  4. Step 4: Simplify right side
    91,835,448x = 39,925,192,608,655,232
  5. Step 5: Solve for x
    x = 39,925,192,608,655,232/91,835,448
  6. Step 6: Final answer
    x = 434,747,077.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.