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Finding the Third Proportional to 124,781,813.72 and 269,293,374.56

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Solution

The third proportional to 124,781,813.72 and 269,293,374.56 is: 581,165,791.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,781,813.72 : 269,293,374.56 = 269,293,374.56 : x
  2. Step 2: Convert to fraction form
    124,781,813.72/269,293,374.56 = 269,293,374.56/x
  3. Step 3: Cross multiply
    124,781,813.72x = 269,293,374.56 × 269,293,374.56
  4. Step 4: Simplify right side
    124,781,813.72x = 72,518,921,583,258,928
  5. Step 5: Solve for x
    x = 72,518,921,583,258,928/124,781,813.72
  6. Step 6: Final answer
    x = 581,165,791.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.