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Finding the Third Proportional to 102,604,300,634 and 220,650,195,696

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Solution

The third proportional to 102,604,300,634 and 220,650,195,696 is: 474,507,487,111.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,604,300,634 : 220,650,195,696 = 220,650,195,696 : x
  2. Step 2: Convert to fraction form
    102,604,300,634/220,650,195,696 = 220,650,195,696/x
  3. Step 3: Cross multiply
    102,604,300,634x = 220,650,195,696 × 220,650,195,696
  4. Step 4: Simplify right side
    102,604,300,634x = 48,686,508,860,683,094,851,584
  5. Step 5: Solve for x
    x = 48,686,508,860,683,094,851,584/102,604,300,634
  6. Step 6: Final answer
    x = 474,507,487,111.61

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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.