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Finding the Third Proportional to 96,898,123.13 and 212,629,039.88

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Solution

The third proportional to 96,898,123.13 and 212,629,039.88 is: 466,583,945.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,898,123.13 : 212,629,039.88 = 212,629,039.88 : x
  2. Step 2: Convert to fraction form
    96,898,123.13/212,629,039.88 = 212,629,039.88/x
  3. Step 3: Cross multiply
    96,898,123.13x = 212,629,039.88 × 212,629,039.88
  4. Step 4: Simplify right side
    96,898,123.13x = 45,211,108,598,164,344
  5. Step 5: Solve for x
    x = 45,211,108,598,164,344/96,898,123.13
  6. Step 6: Final answer
    x = 466,583,945.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.