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Finding the Third Proportional to 86,016,049 and 136,416,437

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Solution

The third proportional to 86,016,049 and 136,416,437 is: 216,348,512.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,016,049 : 136,416,437 = 136,416,437 : x
  2. Step 2: Convert to fraction form
    86,016,049/136,416,437 = 136,416,437/x
  3. Step 3: Cross multiply
    86,016,049x = 136,416,437 × 136,416,437
  4. Step 4: Simplify right side
    86,016,049x = 18,609,444,283,774,968
  5. Step 5: Solve for x
    x = 18,609,444,283,774,968/86,016,049
  6. Step 6: Final answer
    x = 216,348,512.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.