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Finding the Third Proportional to 214,445,637.50 and 468,218,181.50

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Solution

The third proportional to 214,445,637.50 and 468,218,181.50 is: 1,022,302,286.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,445,637.50 : 468,218,181.50 = 468,218,181.50 : x
  2. Step 2: Convert to fraction form
    214,445,637.50/468,218,181.50 = 468,218,181.50/x
  3. Step 3: Cross multiply
    214,445,637.50x = 468,218,181.50 × 468,218,181.50
  4. Step 4: Simplify right side
    214,445,637.50x = 219,228,265,487,166,944
  5. Step 5: Solve for x
    x = 219,228,265,487,166,944/214,445,637.50
  6. Step 6: Final answer
    x = 1,022,302,286.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.