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Finding the Third Proportional to 112,483,414 and 175,301,511

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Solution

The third proportional to 112,483,414 and 175,301,511 is: 273,201,342.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,483,414 : 175,301,511 = 175,301,511 : x
  2. Step 2: Convert to fraction form
    112,483,414/175,301,511 = 175,301,511/x
  3. Step 3: Cross multiply
    112,483,414x = 175,301,511 × 175,301,511
  4. Step 4: Simplify right side
    112,483,414x = 30,730,619,758,883,120
  5. Step 5: Solve for x
    x = 30,730,619,758,883,120/112,483,414
  6. Step 6: Final answer
    x = 273,201,342.90

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.