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Finding the Third Proportional to 76,240,105 and 114,533,963

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Solution

The third proportional to 76,240,105 and 114,533,963 is: 172,062,048.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,240,105 : 114,533,963 = 114,533,963 : x
  2. Step 2: Convert to fraction form
    76,240,105/114,533,963 = 114,533,963/x
  3. Step 3: Cross multiply
    76,240,105x = 114,533,963 × 114,533,963
  4. Step 4: Simplify right side
    76,240,105x = 13,118,028,680,485,368
  5. Step 5: Solve for x
    x = 13,118,028,680,485,368/76,240,105
  6. Step 6: Final answer
    x = 172,062,048.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.