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Finding the Third Proportional to 75,701,115 and 113,425,258.50

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Solution

The third proportional to 75,701,115 and 113,425,258.50 is: 169,948,477.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,701,115 : 113,425,258.50 = 113,425,258.50 : x
  2. Step 2: Convert to fraction form
    75,701,115/113,425,258.50 = 113,425,258.50/x
  3. Step 3: Cross multiply
    75,701,115x = 113,425,258.50 × 113,425,258.50
  4. Step 4: Simplify right side
    75,701,115x = 12,865,289,265,791,822
  5. Step 5: Solve for x
    x = 12,865,289,265,791,822/75,701,115
  6. Step 6: Final answer
    x = 169,948,477.85

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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.