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Finding the Third Proportional to 176,459,658 and 266,958,993

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Solution

The third proportional to 176,459,658 and 266,958,993 is: 403,871,937.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,459,658 : 266,958,993 = 266,958,993 : x
  2. Step 2: Convert to fraction form
    176,459,658/266,958,993 = 266,958,993/x
  3. Step 3: Cross multiply
    176,459,658x = 266,958,993 × 266,958,993
  4. Step 4: Simplify right side
    176,459,658x = 71,267,103,943,574,048
  5. Step 5: Solve for x
    x = 71,267,103,943,574,048/176,459,658
  6. Step 6: Final answer
    x = 403,871,937.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.