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Finding the Third Proportional to 65,435,598 and 141,776,538

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Solution

The third proportional to 65,435,598 and 141,776,538 is: 307,181,218.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,435,598 : 141,776,538 = 141,776,538 : x
  2. Step 2: Convert to fraction form
    65,435,598/141,776,538 = 141,776,538/x
  3. Step 3: Cross multiply
    65,435,598x = 141,776,538 × 141,776,538
  4. Step 4: Simplify right side
    65,435,598x = 20,100,586,727,265,444
  5. Step 5: Solve for x
    x = 20,100,586,727,265,444/65,435,598
  6. Step 6: Final answer
    x = 307,181,218.51

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.