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Finding the Third Proportional to 138,230,428.50 and 298,598,491.13

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Solution

The third proportional to 138,230,428.50 and 298,598,491.13 is: 645,017,597.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,230,428.50 : 298,598,491.13 = 298,598,491.13 : x
  2. Step 2: Convert to fraction form
    138,230,428.50/298,598,491.13 = 298,598,491.13/x
  3. Step 3: Cross multiply
    138,230,428.50x = 298,598,491.13 × 298,598,491.13
  4. Step 4: Simplify right side
    138,230,428.50x = 89,161,058,902,126,704
  5. Step 5: Solve for x
    x = 89,161,058,902,126,704/138,230,428.50
  6. Step 6: Final answer
    x = 645,017,597.57

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.