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Finding the Third Proportional to 176,960,430 and 270,829,413

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Solution

The third proportional to 176,960,430 and 270,829,413 is: 414,491,369.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,960,430 : 270,829,413 = 270,829,413 : x
  2. Step 2: Convert to fraction form
    176,960,430/270,829,413 = 270,829,413/x
  3. Step 3: Cross multiply
    176,960,430x = 270,829,413 × 270,829,413
  4. Step 4: Simplify right side
    176,960,430x = 73,348,570,945,924,576
  5. Step 5: Solve for x
    x = 73,348,570,945,924,576/176,960,430
  6. Step 6: Final answer
    x = 414,491,369.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.