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Finding the Third Proportional to 76,237,196 and 117,799,107.50

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Solution

The third proportional to 76,237,196 and 117,799,107.50 is: 182,019,151.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,237,196 : 117,799,107.50 = 117,799,107.50 : x
  2. Step 2: Convert to fraction form
    76,237,196/117,799,107.50 = 117,799,107.50/x
  3. Step 3: Cross multiply
    76,237,196x = 117,799,107.50 × 117,799,107.50
  4. Step 4: Simplify right side
    76,237,196x = 13,876,629,727,796,556
  5. Step 5: Solve for x
    x = 13,876,629,727,796,556/76,237,196
  6. Step 6: Final answer
    x = 182,019,151.49

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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.