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Finding the Third Proportional to 194,292,273 and 420,869,634

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Solution

The third proportional to 194,292,273 and 420,869,634 is: 911,674,180.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,292,273 : 420,869,634 = 420,869,634 : x
  2. Step 2: Convert to fraction form
    194,292,273/420,869,634 = 420,869,634/x
  3. Step 3: Cross multiply
    194,292,273x = 420,869,634 × 420,869,634
  4. Step 4: Simplify right side
    194,292,273x = 177,131,248,823,293,952
  5. Step 5: Solve for x
    x = 177,131,248,823,293,952/194,292,273
  6. Step 6: Final answer
    x = 911,674,180.80

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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.