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Finding the Third Proportional to 211,478,176.50 and 323,295,646.50

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Solution

The third proportional to 211,478,176.50 and 323,295,646.50 is: 494,235,749.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,478,176.50 : 323,295,646.50 = 323,295,646.50 : x
  2. Step 2: Convert to fraction form
    211,478,176.50/323,295,646.50 = 323,295,646.50/x
  3. Step 3: Cross multiply
    211,478,176.50x = 323,295,646.50 × 323,295,646.50
  4. Step 4: Simplify right side
    211,478,176.50x = 104,520,075,045,852,960
  5. Step 5: Solve for x
    x = 104,520,075,045,852,960/211,478,176.50
  6. Step 6: Final answer
    x = 494,235,749.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.