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Finding the Third Proportional to 88,466,995,800 and 194,966,382,693

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Solution

The third proportional to 88,466,995,800 and 194,966,382,693 is: 429,673,123,142.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,466,995,800 : 194,966,382,693 = 194,966,382,693 : x
  2. Step 2: Convert to fraction form
    88,466,995,800/194,966,382,693 = 194,966,382,693/x
  3. Step 3: Cross multiply
    88,466,995,800x = 194,966,382,693 × 194,966,382,693
  4. Step 4: Simplify right side
    88,466,995,800x = 38,011,890,380,393,330,769,920
  5. Step 5: Solve for x
    x = 38,011,890,380,393,330,769,920/88,466,995,800
  6. Step 6: Final answer
    x = 429,673,123,142.19

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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.