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Finding the Third Proportional to 76,240,107 and 114,533,966

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Solution

The third proportional to 76,240,107 and 114,533,966 is: 172,062,053.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,240,107 : 114,533,966 = 114,533,966 : x
  2. Step 2: Convert to fraction form
    76,240,107/114,533,966 = 114,533,966/x
  3. Step 3: Cross multiply
    76,240,107x = 114,533,966 × 114,533,966
  4. Step 4: Simplify right side
    76,240,107x = 13,118,029,367,689,156
  5. Step 5: Solve for x
    x = 13,118,029,367,689,156/76,240,107
  6. Step 6: Final answer
    x = 172,062,053.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.