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Finding the Third Proportional to 201,808,826 and 315,885,931

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Solution

The third proportional to 201,808,826 and 315,885,931 is: 494,447,757.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,808,826 : 315,885,931 = 315,885,931 : x
  2. Step 2: Convert to fraction form
    201,808,826/315,885,931 = 315,885,931/x
  3. Step 3: Cross multiply
    201,808,826x = 315,885,931 × 315,885,931
  4. Step 4: Simplify right side
    201,808,826x = 99,783,921,403,736,768
  5. Step 5: Solve for x
    x = 99,783,921,403,736,768/201,808,826
  6. Step 6: Final answer
    x = 494,447,757.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.