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Finding the Third Proportional to 125,874,355 and 194,401,506

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Solution

The third proportional to 125,874,355 and 194,401,506 is: 300,235,465.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,874,355 : 194,401,506 = 194,401,506 : x
  2. Step 2: Convert to fraction form
    125,874,355/194,401,506 = 194,401,506/x
  3. Step 3: Cross multiply
    125,874,355x = 194,401,506 × 194,401,506
  4. Step 4: Simplify right side
    125,874,355x = 37,791,945,535,068,032
  5. Step 5: Solve for x
    x = 37,791,945,535,068,032/125,874,355
  6. Step 6: Final answer
    x = 300,235,465.24

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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.