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Finding the Third Proportional to 65,590,175.25 and 143,536,414.50

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Solution

The third proportional to 65,590,175.25 and 143,536,414.50 is: 314,112,627.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,590,175.25 : 143,536,414.50 = 143,536,414.50 : x
  2. Step 2: Convert to fraction form
    65,590,175.25/143,536,414.50 = 143,536,414.50/x
  3. Step 3: Cross multiply
    65,590,175.25x = 143,536,414.50 × 143,536,414.50
  4. Step 4: Simplify right side
    65,590,175.25x = 20,602,702,287,515,812
  5. Step 5: Solve for x
    x = 20,602,702,287,515,812/65,590,175.25
  6. Step 6: Final answer
    x = 314,112,627.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.