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Finding the Third Proportional to 67,298,765.20 and 146,083,253.20

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Solution

The third proportional to 67,298,765.20 and 146,083,253.20 is: 317,098,193.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,298,765.20 : 146,083,253.20 = 146,083,253.20 : x
  2. Step 2: Convert to fraction form
    67,298,765.20/146,083,253.20 = 146,083,253.20/x
  3. Step 3: Cross multiply
    67,298,765.20x = 146,083,253.20 × 146,083,253.20
  4. Step 4: Simplify right side
    67,298,765.20x = 21,340,316,866,406,868
  5. Step 5: Solve for x
    x = 21,340,316,866,406,868/67,298,765.20
  6. Step 6: Final answer
    x = 317,098,193.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.