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Finding the Third Proportional to 65,898,096.75 and 137,250,303.19

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Solution

The third proportional to 65,898,096.75 and 137,250,303.19 is: 285,860,239.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,898,096.75 : 137,250,303.19 = 137,250,303.19 : x
  2. Step 2: Convert to fraction form
    65,898,096.75/137,250,303.19 = 137,250,303.19/x
  3. Step 3: Cross multiply
    65,898,096.75x = 137,250,303.19 × 137,250,303.19
  4. Step 4: Simplify right side
    65,898,096.75x = 18,837,645,725,060,672
  5. Step 5: Solve for x
    x = 18,837,645,725,060,672/65,898,096.75
  6. Step 6: Final answer
    x = 285,860,239.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.