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Finding the Third Proportional to 115,206,748 and 162,052,740

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Solution

The third proportional to 115,206,748 and 162,052,740 is: 227,947,503.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,206,748 : 162,052,740 = 162,052,740 : x
  2. Step 2: Convert to fraction form
    115,206,748/162,052,740 = 162,052,740/x
  3. Step 3: Cross multiply
    115,206,748x = 162,052,740 × 162,052,740
  4. Step 4: Simplify right side
    115,206,748x = 26,261,090,541,507,600
  5. Step 5: Solve for x
    x = 26,261,090,541,507,600/115,206,748
  6. Step 6: Final answer
    x = 227,947,503.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.