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Finding the Third Proportional to 193,482,696 and 420,977,012

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Solution

The third proportional to 193,482,696 and 420,977,012 is: 915,956,043.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,482,696 : 420,977,012 = 420,977,012 : x
  2. Step 2: Convert to fraction form
    193,482,696/420,977,012 = 420,977,012/x
  3. Step 3: Cross multiply
    193,482,696x = 420,977,012 × 420,977,012
  4. Step 4: Simplify right side
    193,482,696x = 177,221,644,632,448,128
  5. Step 5: Solve for x
    x = 177,221,644,632,448,128/193,482,696
  6. Step 6: Final answer
    x = 915,956,043.08

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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.