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Finding the Third Proportional to 127,391,180,064 and 197,799,092,728.50

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Solution

The third proportional to 127,391,180,064 and 197,799,092,728.50 is: 307,120,799,607.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,391,180,064 : 197,799,092,728.50 = 197,799,092,728.50 : x
  2. Step 2: Convert to fraction form
    127,391,180,064/197,799,092,728.50 = 197,799,092,728.50/x
  3. Step 3: Cross multiply
    127,391,180,064x = 197,799,092,728.50 × 197,799,092,728.50
  4. Step 4: Simplify right side
    127,391,180,064x = 39,124,481,084,217,744,162,816
  5. Step 5: Solve for x
    x = 39,124,481,084,217,744,162,816/127,391,180,064
  6. Step 6: Final answer
    x = 307,120,799,607.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.