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Finding the Third Proportional to 106,676,980 and 232,736,679

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Solution

The third proportional to 106,676,980 and 232,736,679 is: 507,760,547.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,676,980 : 232,736,679 = 232,736,679 : x
  2. Step 2: Convert to fraction form
    106,676,980/232,736,679 = 232,736,679/x
  3. Step 3: Cross multiply
    106,676,980x = 232,736,679 × 232,736,679
  4. Step 4: Simplify right side
    106,676,980x = 54,166,361,751,949,040
  5. Step 5: Solve for x
    x = 54,166,361,751,949,040/106,676,980
  6. Step 6: Final answer
    x = 507,760,547.33

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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.