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Finding the Third Proportional to 107,959,536.50 and 233,121,696.50

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Solution

The third proportional to 107,959,536.50 and 233,121,696.50 is: 503,389,761.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,959,536.50 : 233,121,696.50 = 233,121,696.50 : x
  2. Step 2: Convert to fraction form
    107,959,536.50/233,121,696.50 = 233,121,696.50/x
  3. Step 3: Cross multiply
    107,959,536.50x = 233,121,696.50 × 233,121,696.50
  4. Step 4: Simplify right side
    107,959,536.50x = 54,345,725,379,038,112
  5. Step 5: Solve for x
    x = 54,345,725,379,038,112/107,959,536.50
  6. Step 6: Final answer
    x = 503,389,761.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.