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Finding the Third Proportional to 237,816,114 and 522,399,037.50

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Solution

The third proportional to 237,816,114 and 522,399,037.50 is: 1,147,528,440.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,816,114 : 522,399,037.50 = 522,399,037.50 : x
  2. Step 2: Convert to fraction form
    237,816,114/522,399,037.50 = 522,399,037.50/x
  3. Step 3: Cross multiply
    237,816,114x = 522,399,037.50 × 522,399,037.50
  4. Step 4: Simplify right side
    237,816,114x = 272,900,754,380,926,400
  5. Step 5: Solve for x
    x = 272,900,754,380,926,400/237,816,114
  6. Step 6: Final answer
    x = 1,147,528,440.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.