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Finding the Third Proportional to 65,566,238.25 and 142,998,436.50

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Solution

The third proportional to 65,566,238.25 and 142,998,436.50 is: 311,876,255.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,566,238.25 : 142,998,436.50 = 142,998,436.50 : x
  2. Step 2: Convert to fraction form
    65,566,238.25/142,998,436.50 = 142,998,436.50/x
  3. Step 3: Cross multiply
    65,566,238.25x = 142,998,436.50 × 142,998,436.50
  4. Step 4: Simplify right side
    65,566,238.25x = 20,448,552,841,444,532
  5. Step 5: Solve for x
    x = 20,448,552,841,444,532/65,566,238.25
  6. Step 6: Final answer
    x = 311,876,255.02

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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.