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Finding the Third Proportional to 202,627,415.50 and 477,851,742.50

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Solution

The third proportional to 202,627,415.50 and 477,851,742.50 is: 1,126,907,172.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,627,415.50 : 477,851,742.50 = 477,851,742.50 : x
  2. Step 2: Convert to fraction form
    202,627,415.50/477,851,742.50 = 477,851,742.50/x
  3. Step 3: Cross multiply
    202,627,415.50x = 477,851,742.50 × 477,851,742.50
  4. Step 4: Simplify right side
    202,627,415.50x = 228,342,287,810,286,304
  5. Step 5: Solve for x
    x = 228,342,287,810,286,304/202,627,415.50
  6. Step 6: Final answer
    x = 1,126,907,172.20

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.