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Finding the Third Proportional to 165,969,584 and 243,573,338

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Solution

The third proportional to 165,969,584 and 243,573,338 is: 357,462,913.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,969,584 : 243,573,338 = 243,573,338 : x
  2. Step 2: Convert to fraction form
    165,969,584/243,573,338 = 243,573,338/x
  3. Step 3: Cross multiply
    165,969,584x = 243,573,338 × 243,573,338
  4. Step 4: Simplify right side
    165,969,584x = 59,327,970,984,462,240
  5. Step 5: Solve for x
    x = 59,327,970,984,462,240/165,969,584
  6. Step 6: Final answer
    x = 357,462,913.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.