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Finding the Third Proportional to 130,193,665 and 278,507,597.50

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Solution

The third proportional to 130,193,665 and 278,507,597.50 is: 595,777,696.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,193,665 : 278,507,597.50 = 278,507,597.50 : x
  2. Step 2: Convert to fraction form
    130,193,665/278,507,597.50 = 278,507,597.50/x
  3. Step 3: Cross multiply
    130,193,665x = 278,507,597.50 × 278,507,597.50
  4. Step 4: Simplify right side
    130,193,665x = 77,566,481,865,222,000
  5. Step 5: Solve for x
    x = 77,566,481,865,222,000/130,193,665
  6. Step 6: Final answer
    x = 595,777,696.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.