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Finding the Third Proportional to 54,930,160 and 83,102,211

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Solution

The third proportional to 54,930,160 and 83,102,211 is: 125,722,871.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,930,160 : 83,102,211 = 83,102,211 : x
  2. Step 2: Convert to fraction form
    54,930,160/83,102,211 = 83,102,211/x
  3. Step 3: Cross multiply
    54,930,160x = 83,102,211 × 83,102,211
  4. Step 4: Simplify right side
    54,930,160x = 6,905,977,473,088,521
  5. Step 5: Solve for x
    x = 6,905,977,473,088,521/54,930,160
  6. Step 6: Final answer
    x = 125,722,871.97

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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.