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Finding the Third Proportional to 117,238,784.50 and 172,448,097

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Solution

The third proportional to 117,238,784.50 and 172,448,097 is: 253,656,213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,238,784.50 : 172,448,097 = 172,448,097 : x
  2. Step 2: Convert to fraction form
    117,238,784.50/172,448,097 = 172,448,097/x
  3. Step 3: Cross multiply
    117,238,784.50x = 172,448,097 × 172,448,097
  4. Step 4: Simplify right side
    117,238,784.50x = 29,738,346,158,921,408
  5. Step 5: Solve for x
    x = 29,738,346,158,921,408/117,238,784.50
  6. Step 6: Final answer
    x = 253,656,213.56

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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.