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Finding the Third Proportional to 38,333,587.50 and 83,135,025

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Solution

The third proportional to 38,333,587.50 and 83,135,025 is: 180,297,040.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,333,587.50 : 83,135,025 = 83,135,025 : x
  2. Step 2: Convert to fraction form
    38,333,587.50/83,135,025 = 83,135,025/x
  3. Step 3: Cross multiply
    38,333,587.50x = 83,135,025 × 83,135,025
  4. Step 4: Simplify right side
    38,333,587.50x = 6,911,432,381,750,625
  5. Step 5: Solve for x
    x = 6,911,432,381,750,625/38,333,587.50
  6. Step 6: Final answer
    x = 180,297,040.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.