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Finding the Third Proportional to 86,016,046.50 and 136,416,433.50

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Solution

The third proportional to 86,016,046.50 and 136,416,433.50 is: 216,348,508.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,016,046.50 : 136,416,433.50 = 136,416,433.50 : x
  2. Step 2: Convert to fraction form
    86,016,046.50/136,416,433.50 = 136,416,433.50/x
  3. Step 3: Cross multiply
    86,016,046.50x = 136,416,433.50 × 136,416,433.50
  4. Step 4: Simplify right side
    86,016,046.50x = 18,609,443,328,859,924
  5. Step 5: Solve for x
    x = 18,609,443,328,859,924/86,016,046.50
  6. Step 6: Final answer
    x = 216,348,508.05

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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.