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Finding the Third Proportional to 53,243,712 and 109,010,736

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Solution

The third proportional to 53,243,712 and 109,010,736 is: 223,187,680.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,243,712 : 109,010,736 = 109,010,736 : x
  2. Step 2: Convert to fraction form
    53,243,712/109,010,736 = 109,010,736/x
  3. Step 3: Cross multiply
    53,243,712x = 109,010,736 × 109,010,736
  4. Step 4: Simplify right side
    53,243,712x = 11,883,340,563,261,696
  5. Step 5: Solve for x
    x = 11,883,340,563,261,696/53,243,712
  6. Step 6: Final answer
    x = 223,187,680.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.