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Finding the Third Proportional to 107,445,285 and 230,221,440

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Solution

The third proportional to 107,445,285 and 230,221,440 is: 493,292,110.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,445,285 : 230,221,440 = 230,221,440 : x
  2. Step 2: Convert to fraction form
    107,445,285/230,221,440 = 230,221,440/x
  3. Step 3: Cross multiply
    107,445,285x = 230,221,440 × 230,221,440
  4. Step 4: Simplify right side
    107,445,285x = 53,001,911,435,673,600
  5. Step 5: Solve for x
    x = 53,001,911,435,673,600/107,445,285
  6. Step 6: Final answer
    x = 493,292,110.82

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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.