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Finding the Third Proportional to 65,733,902.50 and 102,580,263

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Solution

The third proportional to 65,733,902.50 and 102,580,263 is: 160,080,414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,733,902.50 : 102,580,263 = 102,580,263 : x
  2. Step 2: Convert to fraction form
    65,733,902.50/102,580,263 = 102,580,263/x
  3. Step 3: Cross multiply
    65,733,902.50x = 102,580,263 × 102,580,263
  4. Step 4: Simplify right side
    65,733,902.50x = 10,522,710,357,149,168
  5. Step 5: Solve for x
    x = 10,522,710,357,149,168/65,733,902.50
  6. Step 6: Final answer
    x = 160,080,414.47

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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.