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Finding the Third Proportional to 90,772,446 and 196,668,348

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Solution

The third proportional to 90,772,446 and 196,668,348 is: 426,103,303.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,772,446 : 196,668,348 = 196,668,348 : x
  2. Step 2: Convert to fraction form
    90,772,446/196,668,348 = 196,668,348/x
  3. Step 3: Cross multiply
    90,772,446x = 196,668,348 × 196,668,348
  4. Step 4: Simplify right side
    90,772,446x = 38,678,439,105,049,104
  5. Step 5: Solve for x
    x = 38,678,439,105,049,104/90,772,446
  6. Step 6: Final answer
    x = 426,103,303.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.