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Finding the Third Proportional to 214,814,160 and 330,376,644

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Solution

The third proportional to 214,814,160 and 330,376,644 is: 508,107,691.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,814,160 : 330,376,644 = 330,376,644 : x
  2. Step 2: Convert to fraction form
    214,814,160/330,376,644 = 330,376,644/x
  3. Step 3: Cross multiply
    214,814,160x = 330,376,644 × 330,376,644
  4. Step 4: Simplify right side
    214,814,160x = 109,148,726,900,702,736
  5. Step 5: Solve for x
    x = 109,148,726,900,702,736/214,814,160
  6. Step 6: Final answer
    x = 508,107,691.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.