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Finding the Third Proportional to 76,076,926 and 161,991,706

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Solution

The third proportional to 76,076,926 and 161,991,706 is: 344,931,297.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,076,926 : 161,991,706 = 161,991,706 : x
  2. Step 2: Convert to fraction form
    76,076,926/161,991,706 = 161,991,706/x
  3. Step 3: Cross multiply
    76,076,926x = 161,991,706 × 161,991,706
  4. Step 4: Simplify right side
    76,076,926x = 26,241,312,812,790,436
  5. Step 5: Solve for x
    x = 26,241,312,812,790,436/76,076,926
  6. Step 6: Final answer
    x = 344,931,297.73

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.