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Finding the Third Proportional to 66,211,564.50 and 103,340,520.50

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Solution

The third proportional to 66,211,564.50 and 103,340,520.50 is: 161,289,999.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,211,564.50 : 103,340,520.50 = 103,340,520.50 : x
  2. Step 2: Convert to fraction form
    66,211,564.50/103,340,520.50 = 103,340,520.50/x
  3. Step 3: Cross multiply
    66,211,564.50x = 103,340,520.50 × 103,340,520.50
  4. Step 4: Simplify right side
    66,211,564.50x = 10,679,263,177,210,920
  5. Step 5: Solve for x
    x = 10,679,263,177,210,920/66,211,564.50
  6. Step 6: Final answer
    x = 161,289,999.08

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.