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Finding the Third Proportional to 235,397,316 and 323,136,247.50

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Solution

The third proportional to 235,397,316 and 323,136,247.50 is: 443,577,846.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,397,316 : 323,136,247.50 = 323,136,247.50 : x
  2. Step 2: Convert to fraction form
    235,397,316/323,136,247.50 = 323,136,247.50/x
  3. Step 3: Cross multiply
    235,397,316x = 323,136,247.50 × 323,136,247.50
  4. Step 4: Simplify right side
    235,397,316x = 104,417,034,448,381,264
  5. Step 5: Solve for x
    x = 104,417,034,448,381,264/235,397,316
  6. Step 6: Final answer
    x = 443,577,846.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.