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Finding the Third Proportional to 55,666,764 and 115,152,022

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Solution

The third proportional to 55,666,764 and 115,152,022 is: 238,202,963.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,666,764 : 115,152,022 = 115,152,022 : x
  2. Step 2: Convert to fraction form
    55,666,764/115,152,022 = 115,152,022/x
  3. Step 3: Cross multiply
    55,666,764x = 115,152,022 × 115,152,022
  4. Step 4: Simplify right side
    55,666,764x = 13,259,988,170,688,484
  5. Step 5: Solve for x
    x = 13,259,988,170,688,484/55,666,764
  6. Step 6: Final answer
    x = 238,202,963.81

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.