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Finding the Third Proportional to 193,991,632.50 and 420,272,065

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Solution

The third proportional to 193,991,632.50 and 420,272,065 is: 910,496,016.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,991,632.50 : 420,272,065 = 420,272,065 : x
  2. Step 2: Convert to fraction form
    193,991,632.50/420,272,065 = 420,272,065/x
  3. Step 3: Cross multiply
    193,991,632.50x = 420,272,065 × 420,272,065
  4. Step 4: Simplify right side
    193,991,632.50x = 176,628,608,619,364,224
  5. Step 5: Solve for x
    x = 176,628,608,619,364,224/193,991,632.50
  6. Step 6: Final answer
    x = 910,496,016.47

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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.