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Finding the Third Proportional to 103,076,828 and 220,908,796

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Solution

The third proportional to 103,076,828 and 220,908,796 is: 473,440,026.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,076,828 : 220,908,796 = 220,908,796 : x
  2. Step 2: Convert to fraction form
    103,076,828/220,908,796 = 220,908,796/x
  3. Step 3: Cross multiply
    103,076,828x = 220,908,796 × 220,908,796
  4. Step 4: Simplify right side
    103,076,828x = 48,800,696,150,169,616
  5. Step 5: Solve for x
    x = 48,800,696,150,169,616/103,076,828
  6. Step 6: Final answer
    x = 473,440,026.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.