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Finding the Third Proportional to 96,968,848 and 209,319,920

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Solution

The third proportional to 96,968,848 and 209,319,920 is: 451,844,379.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,968,848 : 209,319,920 = 209,319,920 : x
  2. Step 2: Convert to fraction form
    96,968,848/209,319,920 = 209,319,920/x
  3. Step 3: Cross multiply
    96,968,848x = 209,319,920 × 209,319,920
  4. Step 4: Simplify right side
    96,968,848x = 43,814,828,908,806,400
  5. Step 5: Solve for x
    x = 43,814,828,908,806,400/96,968,848
  6. Step 6: Final answer
    x = 451,844,379.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.