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Finding the Third Proportional to 107,272,532.25 and 231,541,335

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Solution

The third proportional to 107,272,532.25 and 231,541,335 is: 499,768,101.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,272,532.25 : 231,541,335 = 231,541,335 : x
  2. Step 2: Convert to fraction form
    107,272,532.25/231,541,335 = 231,541,335/x
  3. Step 3: Cross multiply
    107,272,532.25x = 231,541,335 × 231,541,335
  4. Step 4: Simplify right side
    107,272,532.25x = 53,611,389,813,582,224
  5. Step 5: Solve for x
    x = 53,611,389,813,582,224/107,272,532.25
  6. Step 6: Final answer
    x = 499,768,101.76

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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.