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Finding the Third Proportional to 193,483,357,328.80 and 424,159,081,601.62

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Solution

The third proportional to 193,483,357,328.80 and 424,159,081,601.62 is: 929,852,205,321.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,483,357,328.80 : 424,159,081,601.62 = 424,159,081,601.62 : x
  2. Step 2: Convert to fraction form
    193,483,357,328.80/424,159,081,601.62 = 424,159,081,601.62/x
  3. Step 3: Cross multiply
    193,483,357,328.80x = 424,159,081,601.62 × 424,159,081,601.62
  4. Step 4: Simplify right side
    193,483,357,328.80x = 179,910,926,505,129,738,764,288
  5. Step 5: Solve for x
    x = 179,910,926,505,129,738,764,288/193,483,357,328.80
  6. Step 6: Final answer
    x = 929,852,205,321.18

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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.