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Finding the Third Proportional to 88,466,994,912 and 194,966,380,836

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Solution

The third proportional to 88,466,994,912 and 194,966,380,836 is: 429,673,119,270.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,466,994,912 : 194,966,380,836 = 194,966,380,836 : x
  2. Step 2: Convert to fraction form
    88,466,994,912/194,966,380,836 = 194,966,380,836/x
  3. Step 3: Cross multiply
    88,466,994,912x = 194,966,380,836 × 194,966,380,836
  4. Step 4: Simplify right side
    88,466,994,912x = 38,011,889,656,288,184,893,440
  5. Step 5: Solve for x
    x = 38,011,889,656,288,184,893,440/88,466,994,912
  6. Step 6: Final answer
    x = 429,673,119,270.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.