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Finding the Third Proportional to 199,525,811.50 and 466,182,325.38

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Solution

The third proportional to 199,525,811.50 and 466,182,325.38 is: 1,089,212,262.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,525,811.50 : 466,182,325.38 = 466,182,325.38 : x
  2. Step 2: Convert to fraction form
    199,525,811.50/466,182,325.38 = 466,182,325.38/x
  3. Step 3: Cross multiply
    199,525,811.50x = 466,182,325.38 × 466,182,325.38
  4. Step 4: Simplify right side
    199,525,811.50x = 217,325,960,492,042,368
  5. Step 5: Solve for x
    x = 217,325,960,492,042,368/199,525,811.50
  6. Step 6: Final answer
    x = 1,089,212,262.10

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.