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Finding the Third Proportional to 357,154,972.50 and 769,043,173.50

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Solution

The third proportional to 357,154,972.50 and 769,043,173.50 is: 1,655,940,553.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,154,972.50 : 769,043,173.50 = 769,043,173.50 : x
  2. Step 2: Convert to fraction form
    357,154,972.50/769,043,173.50 = 769,043,173.50/x
  3. Step 3: Cross multiply
    357,154,972.50x = 769,043,173.50 × 769,043,173.50
  4. Step 4: Simplify right side
    357,154,972.50x = 591,427,402,706,951,040
  5. Step 5: Solve for x
    x = 591,427,402,706,951,040/357,154,972.50
  6. Step 6: Final answer
    x = 1,655,940,553.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.