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Finding the Third Proportional to 236,890,955 and 511,237,584

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Solution

The third proportional to 236,890,955 and 511,237,584 is: 1,103,308,766.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,890,955 : 511,237,584 = 511,237,584 : x
  2. Step 2: Convert to fraction form
    236,890,955/511,237,584 = 511,237,584/x
  3. Step 3: Cross multiply
    236,890,955x = 511,237,584 × 511,237,584
  4. Step 4: Simplify right side
    236,890,955x = 261,363,867,294,157,056
  5. Step 5: Solve for x
    x = 261,363,867,294,157,056/236,890,955
  6. Step 6: Final answer
    x = 1,103,308,766.24

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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.