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Finding the Third Proportional to 107,883,657 and 233,030,742.75

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Solution

The third proportional to 107,883,657 and 233,030,742.75 is: 503,350,818.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,883,657 : 233,030,742.75 = 233,030,742.75 : x
  2. Step 2: Convert to fraction form
    107,883,657/233,030,742.75 = 233,030,742.75/x
  3. Step 3: Cross multiply
    107,883,657x = 233,030,742.75 × 233,030,742.75
  4. Step 4: Simplify right side
    107,883,657x = 54,303,327,066,616,680
  5. Step 5: Solve for x
    x = 54,303,327,066,616,680/107,883,657
  6. Step 6: Final answer
    x = 503,350,818.62

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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.