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Finding the Third Proportional to 76,677,905.25 and 115,815,197.25

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Solution

The third proportional to 76,677,905.25 and 115,815,197.25 is: 174,928,616.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,677,905.25 : 115,815,197.25 = 115,815,197.25 : x
  2. Step 2: Convert to fraction form
    76,677,905.25/115,815,197.25 = 115,815,197.25/x
  3. Step 3: Cross multiply
    76,677,905.25x = 115,815,197.25 × 115,815,197.25
  4. Step 4: Simplify right side
    76,677,905.25x = 13,413,159,914,056,408
  5. Step 5: Solve for x
    x = 13,413,159,914,056,408/76,677,905.25
  6. Step 6: Final answer
    x = 174,928,616.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.