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Finding the Third Proportional to 65,078,172 and 86,368,403.25

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Solution

The third proportional to 65,078,172 and 86,368,403.25 is: 114,623,703.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,078,172 : 86,368,403.25 = 86,368,403.25 : x
  2. Step 2: Convert to fraction form
    65,078,172/86,368,403.25 = 86,368,403.25/x
  3. Step 3: Cross multiply
    65,078,172x = 86,368,403.25 × 86,368,403.25
  4. Step 4: Simplify right side
    65,078,172x = 7,459,501,079,954,611
  5. Step 5: Solve for x
    x = 7,459,501,079,954,611/65,078,172
  6. Step 6: Final answer
    x = 114,623,703.32

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.