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Finding the Third Proportional to 86,068,024 and 129,354,282

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Solution

The third proportional to 86,068,024 and 129,354,282 is: 194,410,531.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,068,024 : 129,354,282 = 129,354,282 : x
  2. Step 2: Convert to fraction form
    86,068,024/129,354,282 = 129,354,282/x
  3. Step 3: Cross multiply
    86,068,024x = 129,354,282 × 129,354,282
  4. Step 4: Simplify right side
    86,068,024x = 16,732,530,271,735,524
  5. Step 5: Solve for x
    x = 16,732,530,271,735,524/86,068,024
  6. Step 6: Final answer
    x = 194,410,531.28

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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.