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Finding the Third Proportional to 215,918,250 and 466,242,100

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Solution

The third proportional to 215,918,250 and 466,242,100 is: 1,006,777,777.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,918,250 : 466,242,100 = 466,242,100 : x
  2. Step 2: Convert to fraction form
    215,918,250/466,242,100 = 466,242,100/x
  3. Step 3: Cross multiply
    215,918,250x = 466,242,100 × 466,242,100
  4. Step 4: Simplify right side
    215,918,250x = 217,381,695,812,409,984
  5. Step 5: Solve for x
    x = 217,381,695,812,409,984/215,918,250
  6. Step 6: Final answer
    x = 1,006,777,777.29

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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.