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Finding the Third Proportional to 258,032,682,034 and 358,773,819,294

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Solution

The third proportional to 258,032,682,034 and 358,773,819,294 is: 498,846,318,211.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,032,682,034 : 358,773,819,294 = 358,773,819,294 : x
  2. Step 2: Convert to fraction form
    258,032,682,034/358,773,819,294 = 358,773,819,294/x
  3. Step 3: Cross multiply
    258,032,682,034x = 358,773,819,294 × 358,773,819,294
  4. Step 4: Simplify right side
    258,032,682,034x = 128,718,653,410,803,760,234,496
  5. Step 5: Solve for x
    x = 128,718,653,410,803,760,234,496/258,032,682,034
  6. Step 6: Final answer
    x = 498,846,318,211.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.