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Finding the Third Proportional to 67,094,921 and 146,751,943

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Solution

The third proportional to 67,094,921 and 146,751,943 is: 320,980,074.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,094,921 : 146,751,943 = 146,751,943 : x
  2. Step 2: Convert to fraction form
    67,094,921/146,751,943 = 146,751,943/x
  3. Step 3: Cross multiply
    67,094,921x = 146,751,943 × 146,751,943
  4. Step 4: Simplify right side
    67,094,921x = 21,536,132,774,275,248
  5. Step 5: Solve for x
    x = 21,536,132,774,275,248/67,094,921
  6. Step 6: Final answer
    x = 320,980,074.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.