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Finding the Third Proportional to 76,141,938 and 115,997,427

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Solution

The third proportional to 76,141,938 and 115,997,427 is: 176,714,743.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,141,938 : 115,997,427 = 115,997,427 : x
  2. Step 2: Convert to fraction form
    76,141,938/115,997,427 = 115,997,427/x
  3. Step 3: Cross multiply
    76,141,938x = 115,997,427 × 115,997,427
  4. Step 4: Simplify right side
    76,141,938x = 13,455,403,070,620,328
  5. Step 5: Solve for x
    x = 13,455,403,070,620,328/76,141,938
  6. Step 6: Final answer
    x = 176,714,743.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.