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Finding the Third Proportional to 54,930,126 and 83,102,160

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Solution

The third proportional to 54,930,126 and 83,102,160 is: 125,722,795.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,930,126 : 83,102,160 = 83,102,160 : x
  2. Step 2: Convert to fraction form
    54,930,126/83,102,160 = 83,102,160/x
  3. Step 3: Cross multiply
    54,930,126x = 83,102,160 × 83,102,160
  4. Step 4: Simplify right side
    54,930,126x = 6,905,968,996,665,600
  5. Step 5: Solve for x
    x = 6,905,968,996,665,600/54,930,126
  6. Step 6: Final answer
    x = 125,722,795.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.