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Finding the Third Proportional to 103,076,826 and 220,908,789

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Solution

The third proportional to 103,076,826 and 220,908,789 is: 473,440,005.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,076,826 : 220,908,789 = 220,908,789 : x
  2. Step 2: Convert to fraction form
    103,076,826/220,908,789 = 220,908,789/x
  3. Step 3: Cross multiply
    103,076,826x = 220,908,789 × 220,908,789
  4. Step 4: Simplify right side
    103,076,826x = 48,800,693,057,446,520
  5. Step 5: Solve for x
    x = 48,800,693,057,446,520/103,076,826
  6. Step 6: Final answer
    x = 473,440,005.39

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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.