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Finding the Third Proportional to 102,604,300,690 and 220,650,195,806

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Solution

The third proportional to 102,604,300,690 and 220,650,195,806 is: 474,507,487,325.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,604,300,690 : 220,650,195,806 = 220,650,195,806 : x
  2. Step 2: Convert to fraction form
    102,604,300,690/220,650,195,806 = 220,650,195,806/x
  3. Step 3: Cross multiply
    102,604,300,690x = 220,650,195,806 × 220,650,195,806
  4. Step 4: Simplify right side
    102,604,300,690x = 48,686,508,909,226,140,631,040
  5. Step 5: Solve for x
    x = 48,686,508,909,226,140,631,040/102,604,300,690
  6. Step 6: Final answer
    x = 474,507,487,325.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.