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Finding the Third Proportional to 178,941,790,330 and 277,841,242,958

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Solution

The third proportional to 178,941,790,330 and 277,841,242,958 is: 431,401,497,358.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,941,790,330 : 277,841,242,958 = 277,841,242,958 : x
  2. Step 2: Convert to fraction form
    178,941,790,330/277,841,242,958 = 277,841,242,958/x
  3. Step 3: Cross multiply
    178,941,790,330x = 277,841,242,958 × 277,841,242,958
  4. Step 4: Simplify right side
    178,941,790,330x = 77,195,756,288,446,388,240,384
  5. Step 5: Solve for x
    x = 77,195,756,288,446,388,240,384/178,941,790,330
  6. Step 6: Final answer
    x = 431,401,497,358.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.