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Finding the Third Proportional to 103,805,070 and 221,027,628

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Solution

The third proportional to 103,805,070 and 221,027,628 is: 470,624,530.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,805,070 : 221,027,628 = 221,027,628 : x
  2. Step 2: Convert to fraction form
    103,805,070/221,027,628 = 221,027,628/x
  3. Step 3: Cross multiply
    103,805,070x = 221,027,628 × 221,027,628
  4. Step 4: Simplify right side
    103,805,070x = 48,853,212,339,306,384
  5. Step 5: Solve for x
    x = 48,853,212,339,306,384/103,805,070
  6. Step 6: Final answer
    x = 470,624,530.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.