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Finding the Third Proportional to 146,607,852 and 215,424,084

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Solution

The third proportional to 146,607,852 and 215,424,084 is: 316,541,954.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,607,852 : 215,424,084 = 215,424,084 : x
  2. Step 2: Convert to fraction form
    146,607,852/215,424,084 = 215,424,084/x
  3. Step 3: Cross multiply
    146,607,852x = 215,424,084 × 215,424,084
  4. Step 4: Simplify right side
    146,607,852x = 46,407,535,967,239,056
  5. Step 5: Solve for x
    x = 46,407,535,967,239,056/146,607,852
  6. Step 6: Final answer
    x = 316,541,954.16

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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.