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Finding the Third Proportional to 357,154,969.50 and 769,043,167.50

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Solution

The third proportional to 357,154,969.50 and 769,043,167.50 is: 1,655,940,541.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,154,969.50 : 769,043,167.50 = 769,043,167.50 : x
  2. Step 2: Convert to fraction form
    357,154,969.50/769,043,167.50 = 769,043,167.50/x
  3. Step 3: Cross multiply
    357,154,969.50x = 769,043,167.50 × 769,043,167.50
  4. Step 4: Simplify right side
    357,154,969.50x = 591,427,393,478,433,024
  5. Step 5: Solve for x
    x = 591,427,393,478,433,024/357,154,969.50
  6. Step 6: Final answer
    x = 1,655,940,541.18

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