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Finding the Third Proportional to 210,467,225.25 and 459,180,706.50

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Solution

The third proportional to 210,467,225.25 and 459,180,706.50 is: 1,001,804,062.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,467,225.25 : 459,180,706.50 = 459,180,706.50 : x
  2. Step 2: Convert to fraction form
    210,467,225.25/459,180,706.50 = 459,180,706.50/x
  3. Step 3: Cross multiply
    210,467,225.25x = 459,180,706.50 × 459,180,706.50
  4. Step 4: Simplify right side
    210,467,225.25x = 210,846,921,221,839,136
  5. Step 5: Solve for x
    x = 210,846,921,221,839,136/210,467,225.25
  6. Step 6: Final answer
    x = 1,001,804,062.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.