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Finding the Third Proportional to 209,406,150 and 447,925,644

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Solution

The third proportional to 209,406,150 and 447,925,644 is: 958,125,549.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,406,150 : 447,925,644 = 447,925,644 : x
  2. Step 2: Convert to fraction form
    209,406,150/447,925,644 = 447,925,644/x
  3. Step 3: Cross multiply
    209,406,150x = 447,925,644 × 447,925,644
  4. Step 4: Simplify right side
    209,406,150x = 200,637,382,552,814,720
  5. Step 5: Solve for x
    x = 200,637,382,552,814,720/209,406,150
  6. Step 6: Final answer
    x = 958,125,549.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.