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Finding the Third Proportional to 130,349,151 and 182,684,002.50

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Solution

The third proportional to 130,349,151 and 182,684,002.50 is: 256,031,163.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,349,151 : 182,684,002.50 = 182,684,002.50 : x
  2. Step 2: Convert to fraction form
    130,349,151/182,684,002.50 = 182,684,002.50/x
  3. Step 3: Cross multiply
    130,349,151x = 182,684,002.50 × 182,684,002.50
  4. Step 4: Simplify right side
    130,349,151x = 33,373,444,769,420,008
  5. Step 5: Solve for x
    x = 33,373,444,769,420,008/130,349,151
  6. Step 6: Final answer
    x = 256,031,163.33

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.