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Finding the Third Proportional to 86,580,297.75 and 129,984,433.88

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Solution

The third proportional to 86,580,297.75 and 129,984,433.88 is: 195,147,781.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,580,297.75 : 129,984,433.88 = 129,984,433.88 : x
  2. Step 2: Convert to fraction form
    86,580,297.75/129,984,433.88 = 129,984,433.88/x
  3. Step 3: Cross multiply
    86,580,297.75x = 129,984,433.88 × 129,984,433.88
  4. Step 4: Simplify right side
    86,580,297.75x = 16,895,953,049,804,248
  5. Step 5: Solve for x
    x = 16,895,953,049,804,248/86,580,297.75
  6. Step 6: Final answer
    x = 195,147,781.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.