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Finding the Third Proportional to 197,584,314,096 and 266,587,629,138

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Solution

The third proportional to 197,584,314,096 and 266,587,629,138 is: 359,689,301,929.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,584,314,096 : 266,587,629,138 = 266,587,629,138 : x
  2. Step 2: Convert to fraction form
    197,584,314,096/266,587,629,138 = 266,587,629,138/x
  3. Step 3: Cross multiply
    197,584,314,096x = 266,587,629,138 × 266,587,629,138
  4. Step 4: Simplify right side
    197,584,314,096x = 71,068,964,009,419,829,411,840
  5. Step 5: Solve for x
    x = 71,068,964,009,419,829,411,840/197,584,314,096
  6. Step 6: Final answer
    x = 359,689,301,929.55

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.