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Finding the Third Proportional to 129,205,971 and 198,598,527

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Solution

The third proportional to 129,205,971 and 198,598,527 is: 305,259,692.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,205,971 : 198,598,527 = 198,598,527 : x
  2. Step 2: Convert to fraction form
    129,205,971/198,598,527 = 198,598,527/x
  3. Step 3: Cross multiply
    129,205,971x = 198,598,527 × 198,598,527
  4. Step 4: Simplify right side
    129,205,971x = 39,441,374,926,569,728
  5. Step 5: Solve for x
    x = 39,441,374,926,569,728/129,205,971
  6. Step 6: Final answer
    x = 305,259,692.11

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Why These Related Problems?

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