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Finding the Third Proportional to 107,445,360 and 230,221,584

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Solution

The third proportional to 107,445,360 and 230,221,584 is: 493,292,383.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,445,360 : 230,221,584 = 230,221,584 : x
  2. Step 2: Convert to fraction form
    107,445,360/230,221,584 = 230,221,584/x
  3. Step 3: Cross multiply
    107,445,360x = 230,221,584 × 230,221,584
  4. Step 4: Simplify right side
    107,445,360x = 53,001,977,739,469,056
  5. Step 5: Solve for x
    x = 53,001,977,739,469,056/107,445,360
  6. Step 6: Final answer
    x = 493,292,383.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.