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Finding the Third Proportional to 103,598,585,347.50 and 225,439,598,161.25

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Solution

The third proportional to 103,598,585,347.50 and 225,439,598,161.25 is: 490,576,316,738.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,598,585,347.50 : 225,439,598,161.25 = 225,439,598,161.25 : x
  2. Step 2: Convert to fraction form
    103,598,585,347.50/225,439,598,161.25 = 225,439,598,161.25/x
  3. Step 3: Cross multiply
    103,598,585,347.50x = 225,439,598,161.25 × 225,439,598,161.25
  4. Step 4: Simplify right side
    103,598,585,347.50x = 50,823,012,419,105,877,655,552
  5. Step 5: Solve for x
    x = 50,823,012,419,105,877,655,552/103,598,585,347.50
  6. Step 6: Final answer
    x = 490,576,316,738.60

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.