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Finding the Third Proportional to 174,966,336 and 269,308,044

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Solution

The third proportional to 174,966,336 and 269,308,044 is: 414,518,725.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,966,336 : 269,308,044 = 269,308,044 : x
  2. Step 2: Convert to fraction form
    174,966,336/269,308,044 = 269,308,044/x
  3. Step 3: Cross multiply
    174,966,336x = 269,308,044 × 269,308,044
  4. Step 4: Simplify right side
    174,966,336x = 72,526,822,563,105,936
  5. Step 5: Solve for x
    x = 72,526,822,563,105,936/174,966,336
  6. Step 6: Final answer
    x = 414,518,725.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.