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Finding the Third Proportional to 147,941,106 and 235,610,973

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Solution

The third proportional to 147,941,106 and 235,610,973 is: 375,233,983.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,941,106 : 235,610,973 = 235,610,973 : x
  2. Step 2: Convert to fraction form
    147,941,106/235,610,973 = 235,610,973/x
  3. Step 3: Cross multiply
    147,941,106x = 235,610,973 × 235,610,973
  4. Step 4: Simplify right side
    147,941,106x = 55,512,530,598,006,728
  5. Step 5: Solve for x
    x = 55,512,530,598,006,728/147,941,106
  6. Step 6: Final answer
    x = 375,233,983.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.