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Finding the Third Proportional to 76,102,830 and 117,651,622

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Solution

The third proportional to 76,102,830 and 117,651,622 is: 181,884,223.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,102,830 : 117,651,622 = 117,651,622 : x
  2. Step 2: Convert to fraction form
    76,102,830/117,651,622 = 117,651,622/x
  3. Step 3: Cross multiply
    76,102,830x = 117,651,622 × 117,651,622
  4. Step 4: Simplify right side
    76,102,830x = 13,841,904,159,230,884
  5. Step 5: Solve for x
    x = 13,841,904,159,230,884/76,102,830
  6. Step 6: Final answer
    x = 181,884,223.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.