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Finding the Third Proportional to 129,205,897.50 and 198,598,376.25

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Solution

The third proportional to 129,205,897.50 and 198,598,376.25 is: 305,259,402.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,205,897.50 : 198,598,376.25 = 198,598,376.25 : x
  2. Step 2: Convert to fraction form
    129,205,897.50/198,598,376.25 = 198,598,376.25/x
  3. Step 3: Cross multiply
    129,205,897.50x = 198,598,376.25 × 198,598,376.25
  4. Step 4: Simplify right side
    129,205,897.50x = 39,441,315,049,136,568
  5. Step 5: Solve for x
    x = 39,441,315,049,136,568/129,205,897.50
  6. Step 6: Final answer
    x = 305,259,402.34

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.