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Finding the Third Proportional to 76,118,894 and 115,962,826

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Solution

The third proportional to 76,118,894 and 115,962,826 is: 176,662,800.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,118,894 : 115,962,826 = 115,962,826 : x
  2. Step 2: Convert to fraction form
    76,118,894/115,962,826 = 115,962,826/x
  3. Step 3: Cross multiply
    76,118,894x = 115,962,826 × 115,962,826
  4. Step 4: Simplify right side
    76,118,894x = 13,447,377,013,906,276
  5. Step 5: Solve for x
    x = 13,447,377,013,906,276/76,118,894
  6. Step 6: Final answer
    x = 176,662,800.88

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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.