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Finding the Third Proportional to 83,970,466 and 137,116,211

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Solution

The third proportional to 83,970,466 and 137,116,211 is: 223,898,427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,970,466 : 137,116,211 = 137,116,211 : x
  2. Step 2: Convert to fraction form
    83,970,466/137,116,211 = 137,116,211/x
  3. Step 3: Cross multiply
    83,970,466x = 137,116,211 × 137,116,211
  4. Step 4: Simplify right side
    83,970,466x = 18,800,855,318,996,520
  5. Step 5: Solve for x
    x = 18,800,855,318,996,520/83,970,466
  6. Step 6: Final answer
    x = 223,898,427.80

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.