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Finding the Third Proportional to 146,531,458 and 220,122,417

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Solution

The third proportional to 146,531,458 and 220,122,417 is: 330,672,192.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,531,458 : 220,122,417 = 220,122,417 : x
  2. Step 2: Convert to fraction form
    146,531,458/220,122,417 = 220,122,417/x
  3. Step 3: Cross multiply
    146,531,458x = 220,122,417 × 220,122,417
  4. Step 4: Simplify right side
    146,531,458x = 48,453,878,465,921,888
  5. Step 5: Solve for x
    x = 48,453,878,465,921,888/146,531,458
  6. Step 6: Final answer
    x = 330,672,192.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.