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Finding the Third Proportional to 48,370,663 and 105,244,229

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Solution

The third proportional to 48,370,663 and 105,244,229 is: 228,988,958.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,370,663 : 105,244,229 = 105,244,229 : x
  2. Step 2: Convert to fraction form
    48,370,663/105,244,229 = 105,244,229/x
  3. Step 3: Cross multiply
    48,370,663x = 105,244,229 × 105,244,229
  4. Step 4: Simplify right side
    48,370,663x = 11,076,347,737,804,440
  5. Step 5: Solve for x
    x = 11,076,347,737,804,440/48,370,663
  6. Step 6: Final answer
    x = 228,988,958.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.