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Finding the Third Proportional to 146,531,457 and 220,122,415

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Solution

The third proportional to 146,531,457 and 220,122,415 is: 330,672,188.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,531,457 : 220,122,415 = 220,122,415 : x
  2. Step 2: Convert to fraction form
    146,531,457/220,122,415 = 220,122,415/x
  3. Step 3: Cross multiply
    146,531,457x = 220,122,415 × 220,122,415
  4. Step 4: Simplify right side
    146,531,457x = 48,453,877,585,432,224
  5. Step 5: Solve for x
    x = 48,453,877,585,432,224/146,531,457
  6. Step 6: Final answer
    x = 330,672,188.60

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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.