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Finding the Third Proportional to 157,847,976,210 and 368,324,672,871

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Solution

The third proportional to 157,847,976,210 and 368,324,672,871 is: 859,453,937,281.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,847,976,210 : 368,324,672,871 = 368,324,672,871 : x
  2. Step 2: Convert to fraction form
    157,847,976,210/368,324,672,871 = 368,324,672,871/x
  3. Step 3: Cross multiply
    157,847,976,210x = 368,324,672,871 × 368,324,672,871
  4. Step 4: Simplify right side
    157,847,976,210x = 135,663,064,645,529,155,665,920
  5. Step 5: Solve for x
    x = 135,663,064,645,529,155,665,920/157,847,976,210
  6. Step 6: Final answer
    x = 859,453,937,281.05

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.