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Finding the Third Proportional to 42,906,408,336 and 92,370,224,565

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Solution

The third proportional to 42,906,408,336 and 92,370,224,565 is: 198,857,436,851.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,906,408,336 : 92,370,224,565 = 92,370,224,565 : x
  2. Step 2: Convert to fraction form
    42,906,408,336/92,370,224,565 = 92,370,224,565/x
  3. Step 3: Cross multiply
    42,906,408,336x = 92,370,224,565 × 92,370,224,565
  4. Step 4: Simplify right side
    42,906,408,336x = 8,532,258,386,188,529,827,840
  5. Step 5: Solve for x
    x = 8,532,258,386,188,529,827,840/42,906,408,336
  6. Step 6: Final answer
    x = 198,857,436,851.21

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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.