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Finding the Third Proportional to 358,369,250,208 and 767,855,304,314

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Solution

The third proportional to 358,369,250,208 and 767,855,304,314 is: 1,645,235,376,698.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,369,250,208 : 767,855,304,314 = 767,855,304,314 : x
  2. Step 2: Convert to fraction form
    358,369,250,208/767,855,304,314 = 767,855,304,314/x
  3. Step 3: Cross multiply
    358,369,250,208x = 767,855,304,314 × 767,855,304,314
  4. Step 4: Simplify right side
    358,369,250,208x = 589,601,768,363,145,534,898,176
  5. Step 5: Solve for x
    x = 589,601,768,363,145,534,898,176/358,369,250,208
  6. Step 6: Final answer
    x = 1,645,235,376,698.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.