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Finding the Third Proportional to 114,898,823 and 245,937,699

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Solution

The third proportional to 114,898,823 and 245,937,699 is: 526,422,727.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,898,823 : 245,937,699 = 245,937,699 : x
  2. Step 2: Convert to fraction form
    114,898,823/245,937,699 = 245,937,699/x
  3. Step 3: Cross multiply
    114,898,823x = 245,937,699 × 245,937,699
  4. Step 4: Simplify right side
    114,898,823x = 60,485,351,789,414,600
  5. Step 5: Solve for x
    x = 60,485,351,789,414,600/114,898,823
  6. Step 6: Final answer
    x = 526,422,727.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.