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Finding the Third Proportional to 65,942,970.75 and 98,416,230.19

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Solution

The third proportional to 65,942,970.75 and 98,416,230.19 is: 146,880,770.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,942,970.75 : 98,416,230.19 = 98,416,230.19 : x
  2. Step 2: Convert to fraction form
    65,942,970.75/98,416,230.19 = 98,416,230.19/x
  3. Step 3: Cross multiply
    65,942,970.75x = 98,416,230.19 × 98,416,230.19
  4. Step 4: Simplify right side
    65,942,970.75x = 9,685,754,364,318,986
  5. Step 5: Solve for x
    x = 9,685,754,364,318,986/65,942,970.75
  6. Step 6: Final answer
    x = 146,880,770.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.