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Finding the Third Proportional to 107,569,629 and 235,205,464.50

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Solution

The third proportional to 107,569,629 and 235,205,464.50 is: 514,286,523.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,569,629 : 235,205,464.50 = 235,205,464.50 : x
  2. Step 2: Convert to fraction form
    107,569,629/235,205,464.50 = 235,205,464.50/x
  3. Step 3: Cross multiply
    107,569,629x = 235,205,464.50 × 235,205,464.50
  4. Step 4: Simplify right side
    107,569,629x = 55,321,610,530,660,760
  5. Step 5: Solve for x
    x = 55,321,610,530,660,760/107,569,629
  6. Step 6: Final answer
    x = 514,286,523.48

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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.