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Finding the Third Proportional to 103,539,080.25 and 225,612,256.50

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Solution

The third proportional to 103,539,080.25 and 225,612,256.50 is: 491,610,415.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,539,080.25 : 225,612,256.50 = 225,612,256.50 : x
  2. Step 2: Convert to fraction form
    103,539,080.25/225,612,256.50 = 225,612,256.50/x
  3. Step 3: Cross multiply
    103,539,080.25x = 225,612,256.50 × 225,612,256.50
  4. Step 4: Simplify right side
    103,539,080.25x = 50,900,890,283,021,792
  5. Step 5: Solve for x
    x = 50,900,890,283,021,792/103,539,080.25
  6. Step 6: Final answer
    x = 491,610,415.70

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.