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Finding the Third Proportional to 85,688,269 and 130,540,151

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Solution

The third proportional to 85,688,269 and 130,540,151 is: 198,868,890.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,688,269 : 130,540,151 = 130,540,151 : x
  2. Step 2: Convert to fraction form
    85,688,269/130,540,151 = 130,540,151/x
  3. Step 3: Cross multiply
    85,688,269x = 130,540,151 × 130,540,151
  4. Step 4: Simplify right side
    85,688,269x = 17,040,731,023,102,800
  5. Step 5: Solve for x
    x = 17,040,731,023,102,800/85,688,269
  6. Step 6: Final answer
    x = 198,868,890.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.