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Finding the Third Proportional to 146,607,896 and 215,424,144

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Solution

The third proportional to 146,607,896 and 215,424,144 is: 316,542,035.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,607,896 : 215,424,144 = 215,424,144 : x
  2. Step 2: Convert to fraction form
    146,607,896/215,424,144 = 215,424,144/x
  3. Step 3: Cross multiply
    146,607,896x = 215,424,144 × 215,424,144
  4. Step 4: Simplify right side
    146,607,896x = 46,407,561,818,132,736
  5. Step 5: Solve for x
    x = 46,407,561,818,132,736/146,607,896
  6. Step 6: Final answer
    x = 316,542,035.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.