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Finding the Third Proportional to 76,102,826 and 117,651,616

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Solution

The third proportional to 76,102,826 and 117,651,616 is: 181,884,214.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,102,826 : 117,651,616 = 117,651,616 : x
  2. Step 2: Convert to fraction form
    76,102,826/117,651,616 = 117,651,616/x
  3. Step 3: Cross multiply
    76,102,826x = 117,651,616 × 117,651,616
  4. Step 4: Simplify right side
    76,102,826x = 13,841,902,747,411,456
  5. Step 5: Solve for x
    x = 13,841,902,747,411,456/76,102,826
  6. Step 6: Final answer
    x = 181,884,214.75

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