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Finding the Third Proportional to 117,223,748 and 172,324,110

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Solution

The third proportional to 117,223,748 and 172,324,110 is: 253,324,086.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,223,748 : 172,324,110 = 172,324,110 : x
  2. Step 2: Convert to fraction form
    117,223,748/172,324,110 = 172,324,110/x
  3. Step 3: Cross multiply
    117,223,748x = 172,324,110 × 172,324,110
  4. Step 4: Simplify right side
    117,223,748x = 29,695,598,887,292,100
  5. Step 5: Solve for x
    x = 29,695,598,887,292,100/117,223,748
  6. Step 6: Final answer
    x = 253,324,086.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.