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Finding the Third Proportional to 96,023,133 and 210,259,602

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Solution

The third proportional to 96,023,133 and 210,259,602 is: 460,400,518.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,023,133 : 210,259,602 = 210,259,602 : x
  2. Step 2: Convert to fraction form
    96,023,133/210,259,602 = 210,259,602/x
  3. Step 3: Cross multiply
    96,023,133x = 210,259,602 × 210,259,602
  4. Step 4: Simplify right side
    96,023,133x = 44,209,100,233,198,400
  5. Step 5: Solve for x
    x = 44,209,100,233,198,400/96,023,133
  6. Step 6: Final answer
    x = 460,400,518.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.