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Finding the Third Proportional to 102,604,300,629 and 220,650,195,683

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Solution

The third proportional to 102,604,300,629 and 220,650,195,683 is: 474,507,487,078.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,604,300,629 : 220,650,195,683 = 220,650,195,683 : x
  2. Step 2: Convert to fraction form
    102,604,300,629/220,650,195,683 = 220,650,195,683/x
  3. Step 3: Cross multiply
    102,604,300,629x = 220,650,195,683 × 220,650,195,683
  4. Step 4: Simplify right side
    102,604,300,629x = 48,686,508,854,946,192,949,248
  5. Step 5: Solve for x
    x = 48,686,508,854,946,192,949,248/102,604,300,629
  6. Step 6: Final answer
    x = 474,507,487,078.82

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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.