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Finding the Third Proportional to 185,127,408 and 385,577,640

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Solution

The third proportional to 185,127,408 and 385,577,640 is: 803,069,183.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,127,408 : 385,577,640 = 385,577,640 : x
  2. Step 2: Convert to fraction form
    185,127,408/385,577,640 = 385,577,640/x
  3. Step 3: Cross multiply
    185,127,408x = 385,577,640 × 385,577,640
  4. Step 4: Simplify right side
    185,127,408x = 148,670,116,467,969,600
  5. Step 5: Solve for x
    x = 148,670,116,467,969,600/185,127,408
  6. Step 6: Final answer
    x = 803,069,183.94

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.