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Finding the Third Proportional to 164,527,443 and 255,576,748.50

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Solution

The third proportional to 164,527,443 and 255,576,748.50 is: 397,012,639.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,527,443 : 255,576,748.50 = 255,576,748.50 : x
  2. Step 2: Convert to fraction form
    164,527,443/255,576,748.50 = 255,576,748.50/x
  3. Step 3: Cross multiply
    164,527,443x = 255,576,748.50 × 255,576,748.50
  4. Step 4: Simplify right side
    164,527,443x = 65,319,474,373,832,256
  5. Step 5: Solve for x
    x = 65,319,474,373,832,256/164,527,443
  6. Step 6: Final answer
    x = 397,012,639.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.