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Finding the Third Proportional to 130,155,814 and 172,736,052

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Solution

The third proportional to 130,155,814 and 172,736,052 is: 229,246,337.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,155,814 : 172,736,052 = 172,736,052 : x
  2. Step 2: Convert to fraction form
    130,155,814/172,736,052 = 172,736,052/x
  3. Step 3: Cross multiply
    130,155,814x = 172,736,052 × 172,736,052
  4. Step 4: Simplify right side
    130,155,814x = 29,837,743,660,546,704
  5. Step 5: Solve for x
    x = 29,837,743,660,546,704/130,155,814
  6. Step 6: Final answer
    x = 229,246,337.47

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.