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Finding the Third Proportional to 201,543,626 and 302,262,951

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Solution

The third proportional to 201,543,626 and 302,262,951 is: 453,315,708.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,543,626 : 302,262,951 = 302,262,951 : x
  2. Step 2: Convert to fraction form
    201,543,626/302,262,951 = 302,262,951/x
  3. Step 3: Cross multiply
    201,543,626x = 302,262,951 × 302,262,951
  4. Step 4: Simplify right side
    201,543,626x = 91,362,891,547,228,400
  5. Step 5: Solve for x
    x = 91,362,891,547,228,400/201,543,626
  6. Step 6: Final answer
    x = 453,315,708.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.