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Finding the Third Proportional to 176,459,652.46 and 266,958,985.57

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Solution

The third proportional to 176,459,652.46 and 266,958,985.57 is: 403,871,927.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,459,652.46 : 266,958,985.57 = 266,958,985.57 : x
  2. Step 2: Convert to fraction form
    176,459,652.46/266,958,985.57 = 266,958,985.57/x
  3. Step 3: Cross multiply
    176,459,652.46x = 266,958,985.57 × 266,958,985.57
  4. Step 4: Simplify right side
    176,459,652.46x = 71,267,099,976,734,328
  5. Step 5: Solve for x
    x = 71,267,099,976,734,328/176,459,652.46
  6. Step 6: Final answer
    x = 403,871,927.57

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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.