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Finding the Third Proportional to 245,461,991.25 and 381,126,535.50

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Solution

The third proportional to 245,461,991.25 and 381,126,535.50 is: 591,771,603.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,461,991.25 : 381,126,535.50 = 381,126,535.50 : x
  2. Step 2: Convert to fraction form
    245,461,991.25/381,126,535.50 = 381,126,535.50/x
  3. Step 3: Cross multiply
    245,461,991.25x = 381,126,535.50 × 381,126,535.50
  4. Step 4: Simplify right side
    245,461,991.25x = 145,257,436,062,232,768
  5. Step 5: Solve for x
    x = 145,257,436,062,232,768/245,461,991.25
  6. Step 6: Final answer
    x = 591,771,603.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.