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Finding the Third Proportional to 258,032,682,024 and 358,773,819,280

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Solution

The third proportional to 258,032,682,024 and 358,773,819,280 is: 498,846,318,191.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,032,682,024 : 358,773,819,280 = 358,773,819,280 : x
  2. Step 2: Convert to fraction form
    258,032,682,024/358,773,819,280 = 358,773,819,280/x
  3. Step 3: Cross multiply
    258,032,682,024x = 358,773,819,280 × 358,773,819,280
  4. Step 4: Simplify right side
    258,032,682,024x = 128,718,653,400,758,100,164,608
  5. Step 5: Solve for x
    x = 128,718,653,400,758,100,164,608/258,032,682,024
  6. Step 6: Final answer
    x = 498,846,318,191.53

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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.