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Finding the Third Proportional to 124,745,969 and 193,923,224

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Solution

The third proportional to 124,745,969 and 193,923,224 is: 301,462,380.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,745,969 : 193,923,224 = 193,923,224 : x
  2. Step 2: Convert to fraction form
    124,745,969/193,923,224 = 193,923,224/x
  3. Step 3: Cross multiply
    124,745,969x = 193,923,224 × 193,923,224
  4. Step 4: Simplify right side
    124,745,969x = 37,606,216,806,554,176
  5. Step 5: Solve for x
    x = 37,606,216,806,554,176/124,745,969
  6. Step 6: Final answer
    x = 301,462,380.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.