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Finding the Third Proportional to 258,032,680,695 and 358,773,817,266

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Solution

The third proportional to 258,032,680,695 and 358,773,817,266 is: 498,846,315,160.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,032,680,695 : 358,773,817,266 = 358,773,817,266 : x
  2. Step 2: Convert to fraction form
    258,032,680,695/358,773,817,266 = 358,773,817,266/x
  3. Step 3: Cross multiply
    258,032,680,695x = 358,773,817,266 × 358,773,817,266
  4. Step 4: Simplify right side
    258,032,680,695x = 128,718,651,955,617,166,524,416
  5. Step 5: Solve for x
    x = 128,718,651,955,617,166,524,416/258,032,680,695
  6. Step 6: Final answer
    x = 498,846,315,160.23

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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.