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Finding the Third Proportional to 107,809,080 and 233,777,712

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Solution

The third proportional to 107,809,080 and 233,777,712 is: 506,933,355.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,809,080 : 233,777,712 = 233,777,712 : x
  2. Step 2: Convert to fraction form
    107,809,080/233,777,712 = 233,777,712/x
  3. Step 3: Cross multiply
    107,809,080x = 233,777,712 × 233,777,712
  4. Step 4: Simplify right side
    107,809,080x = 54,652,018,627,954,944
  5. Step 5: Solve for x
    x = 54,652,018,627,954,944/107,809,080
  6. Step 6: Final answer
    x = 506,933,355.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.