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Finding the Third Proportional to 102,234,564 and 220,058,064

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Solution

The third proportional to 102,234,564 and 220,058,064 is: 473,671,032.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,234,564 : 220,058,064 = 220,058,064 : x
  2. Step 2: Convert to fraction form
    102,234,564/220,058,064 = 220,058,064/x
  3. Step 3: Cross multiply
    102,234,564x = 220,058,064 × 220,058,064
  4. Step 4: Simplify right side
    102,234,564x = 48,425,551,531,428,096
  5. Step 5: Solve for x
    x = 48,425,551,531,428,096/102,234,564
  6. Step 6: Final answer
    x = 473,671,032.93

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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.