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Finding the Third Proportional to 101,936,352 and 220,101,248

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Solution

The third proportional to 101,936,352 and 220,101,248 is: 475,243,212.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,936,352 : 220,101,248 = 220,101,248 : x
  2. Step 2: Convert to fraction form
    101,936,352/220,101,248 = 220,101,248/x
  3. Step 3: Cross multiply
    101,936,352x = 220,101,248 × 220,101,248
  4. Step 4: Simplify right side
    101,936,352x = 48,444,559,371,157,504
  5. Step 5: Solve for x
    x = 48,444,559,371,157,504/101,936,352
  6. Step 6: Final answer
    x = 475,243,212.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.