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Finding the Third Proportional to 181,386,560 and 273,583,130.50

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Solution

The third proportional to 181,386,560 and 273,583,130.50 is: 412,642,090.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,386,560 : 273,583,130.50 = 273,583,130.50 : x
  2. Step 2: Convert to fraction form
    181,386,560/273,583,130.50 = 273,583,130.50/x
  3. Step 3: Cross multiply
    181,386,560x = 273,583,130.50 × 273,583,130.50
  4. Step 4: Simplify right side
    181,386,560x = 74,847,729,294,180,032
  5. Step 5: Solve for x
    x = 74,847,729,294,180,032/181,386,560
  6. Step 6: Final answer
    x = 412,642,090.43

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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.