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Finding the Third Proportional to 127,939,733 and 182,339,931.50

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Solution

The third proportional to 127,939,733 and 182,339,931.50 is: 259,871,189.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,939,733 : 182,339,931.50 = 182,339,931.50 : x
  2. Step 2: Convert to fraction form
    127,939,733/182,339,931.50 = 182,339,931.50/x
  3. Step 3: Cross multiply
    127,939,733x = 182,339,931.50 × 182,339,931.50
  4. Step 4: Simplify right side
    127,939,733x = 33,247,850,619,424,692
  5. Step 5: Solve for x
    x = 33,247,850,619,424,692/127,939,733
  6. Step 6: Final answer
    x = 259,871,189.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.