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Finding the Third Proportional to 114,230,416.50 and 174,023,969.63

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Solution

The third proportional to 114,230,416.50 and 174,023,969.63 is: 265,116,270.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,230,416.50 : 174,023,969.63 = 174,023,969.63 : x
  2. Step 2: Convert to fraction form
    114,230,416.50/174,023,969.63 = 174,023,969.63/x
  3. Step 3: Cross multiply
    114,230,416.50x = 174,023,969.63 × 174,023,969.63
  4. Step 4: Simplify right side
    114,230,416.50x = 30,284,342,004,042,924
  5. Step 5: Solve for x
    x = 30,284,342,004,042,924/114,230,416.50
  6. Step 6: Final answer
    x = 265,116,270.53

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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.