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Finding the Third Proportional to 88,466,996,738 and 194,966,384,564

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Solution

The third proportional to 88,466,996,738 and 194,966,384,564 is: 429,673,126,833.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,466,996,738 : 194,966,384,564 = 194,966,384,564 : x
  2. Step 2: Convert to fraction form
    88,466,996,738/194,966,384,564 = 194,966,384,564/x
  3. Step 3: Cross multiply
    88,466,996,738x = 194,966,384,564 × 194,966,384,564
  4. Step 4: Simplify right side
    88,466,996,738x = 38,011,891,109,957,539,463,168
  5. Step 5: Solve for x
    x = 38,011,891,109,957,539,463,168/88,466,996,738
  6. Step 6: Final answer
    x = 429,673,126,833.18

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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.