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Finding the Third Proportional to 95,433,830,294 and 207,622,992,670

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Solution

The third proportional to 95,433,830,294 and 207,622,992,670 is: 451,698,385,702.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,433,830,294 : 207,622,992,670 = 207,622,992,670 : x
  2. Step 2: Convert to fraction form
    95,433,830,294/207,622,992,670 = 207,622,992,670/x
  3. Step 3: Cross multiply
    95,433,830,294x = 207,622,992,670 × 207,622,992,670
  4. Step 4: Simplify right side
    95,433,830,294x = 43,107,307,085,246,876,352,512
  5. Step 5: Solve for x
    x = 43,107,307,085,246,876,352,512/95,433,830,294
  6. Step 6: Final answer
    x = 451,698,385,702.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.