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Finding the Third Proportional to 131,048,617 and 284,373,459.50

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Solution

The third proportional to 131,048,617 and 284,373,459.50 is: 617,085,981.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,048,617 : 284,373,459.50 = 284,373,459.50 : x
  2. Step 2: Convert to fraction form
    131,048,617/284,373,459.50 = 284,373,459.50/x
  3. Step 3: Cross multiply
    131,048,617x = 284,373,459.50 × 284,373,459.50
  4. Step 4: Simplify right side
    131,048,617x = 80,868,264,467,998,144
  5. Step 5: Solve for x
    x = 80,868,264,467,998,144/131,048,617
  6. Step 6: Final answer
    x = 617,085,981.67

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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.