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Finding the Third Proportional to 110,749,320 and 241,426,584

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Solution

The third proportional to 110,749,320 and 241,426,584 is: 526,294,838.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,749,320 : 241,426,584 = 241,426,584 : x
  2. Step 2: Convert to fraction form
    110,749,320/241,426,584 = 241,426,584/x
  3. Step 3: Cross multiply
    110,749,320x = 241,426,584 × 241,426,584
  4. Step 4: Simplify right side
    110,749,320x = 58,286,795,461,909,056
  5. Step 5: Solve for x
    x = 58,286,795,461,909,056/110,749,320
  6. Step 6: Final answer
    x = 526,294,838.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.