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Finding the Third Proportional to 64,938,216 and 135,249,936

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Solution

The third proportional to 64,938,216 and 135,249,936 is: 281,691,526.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,938,216 : 135,249,936 = 135,249,936 : x
  2. Step 2: Convert to fraction form
    64,938,216/135,249,936 = 135,249,936/x
  3. Step 3: Cross multiply
    64,938,216x = 135,249,936 × 135,249,936
  4. Step 4: Simplify right side
    64,938,216x = 18,292,545,188,004,096
  5. Step 5: Solve for x
    x = 18,292,545,188,004,096/64,938,216
  6. Step 6: Final answer
    x = 281,691,526.42

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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.